The abstract Cauchy problem in locally convex spaces

We derive necessary and sufficient criteria for the uniqueness and existence of solutions of the abstract Cauchy problem in locally convex Hausdorff spaces. Our approach is based on a suitable notion of an asymptotic Laplace transform and extends results of Langenbruch beyond the class of Fréchet sp...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Kruse, Karsten - 1984- [verfasserIn]
Körperschaften:	Technische Universität Hamburg Technische Universität Hamburg, Institut für Mathematik

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Rechteinformationen:	Open Access Namensnennung 4.0 International ; CC BY 4.0

Schlagwörter:	abstract Cauchy problem asymptotic Laplace transform asymptotic resolvent hyperfunction

Anmerkung:	Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik
Umfang:	Diagramme

Übergeordnetes Werk:	Enthalten in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales . Serie A, Matemáticas - Real Academia de Ciencias Exactas, Físicas y Naturales (Madrid), Heidelberg [u.a.] : Springer, 2001, 116(2022), 4, Artikel-ID 155, Seite 1-23
Übergeordnetes Werk:	volume:116 ; year:2022 ; number:4 ; elocationid:155 ; pages:1-23

Links:	Link aufrufen Link aufrufen Link aufrufen Link aufrufen

DOI / URN:	urn:nbn:de:gbv:830-882.0192686 10.15480/882.4499 10.1007/s13398-022-01295-5

Katalog-ID:	1813891079

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topic_title	510: Mathematik The abstract Cauchy problem in locally convex spaces Karsten Kruse abstract Cauchy problem DSpace asymptotic Laplace transform DSpace asymptotic resolvent DSpace hyperfunction DSpace
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title_full	The abstract Cauchy problem in locally convex spaces Karsten Kruse
author_sort	Kruse, Karsten 1984-
journal	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales . Serie A, Matemáticas
journalStr	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales . Serie A, Matemáticas
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author-letter	Kruse, Karsten
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dewey-full	510:MATHEMATIK
title_sort	abstract cauchy problem in locally convex spaces
title_auth	The abstract Cauchy problem in locally convex spaces
abstract	We derive necessary and sufficient criteria for the uniqueness and existence of solutions of the abstract Cauchy problem in locally convex Hausdorff spaces. Our approach is based on a suitable notion of an asymptotic Laplace transform and extends results of Langenbruch beyond the class of Fréchet spaces. Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik
abstractGer	We derive necessary and sufficient criteria for the uniqueness and existence of solutions of the abstract Cauchy problem in locally convex Hausdorff spaces. Our approach is based on a suitable notion of an asymptotic Laplace transform and extends results of Langenbruch beyond the class of Fréchet spaces. Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik
abstract_unstemmed	We derive necessary and sufficient criteria for the uniqueness and existence of solutions of the abstract Cauchy problem in locally convex Hausdorff spaces. Our approach is based on a suitable notion of an asymptotic Laplace transform and extends results of Langenbruch beyond the class of Fréchet spaces. Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik
url	http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0192686 https://doi.org/10.15480/882.4499 http://hdl.handle.net/11420/13269 https://doi.org/10.1007/s13398-022-01295-5
author2	Technische Universität Hamburg Technische Universität Hamburg Institut für Mathematik
author2Str	Technische Universität Hamburg Technische Universität Hamburg Institut für Mathematik
ppnlink	495744433
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hierarchy_sort_str	2022
allfields	urn:nbn:de:gbv:830-882.0192686 urn 10.15480/882.4499 doi 10.1007/s13398-022-01295-5 doi 11420/13269 hdl (DE-627)1813891079 (DE-599)KXP1813891079 DE-627 ger DE-627 rda eng 510: Mathematik Kruse, Karsten 1984- verfasserin (DE-588)1055972765 (DE-627)79299843X (DE-576)411984411 aut The abstract Cauchy problem in locally convex spaces Karsten Kruse 2022 Diagramme Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik DE-830 Open Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_abf2 We derive necessary and sufficient criteria for the uniqueness and existence of solutions of the abstract Cauchy problem in locally convex Hausdorff spaces. Our approach is based on a suitable notion of an asymptotic Laplace transform and extends results of Langenbruch beyond the class of Fréchet spaces. DE-830 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ abstract Cauchy problem DSpace asymptotic Laplace transform DSpace asymptotic resolvent DSpace hyperfunction DSpace Technische Universität Hamburg (DE-588)1112763473 (DE-627)866918418 (DE-576)476770564 oth Technische Universität Hamburg Institut für Mathematik (DE-588)1170812678 (DE-627)1040092225 (DE-576)512657130 oth Enthalten in Real Academia de Ciencias Exactas, Físicas y Naturales (Madrid) Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales . Serie A, Matemáticas Heidelberg [u.a.] : Springer, 2001 116(2022), 4, Artikel-ID 155, Seite 1-23 Online-Ressource (DE-627)495744433 (DE-600)2198482-7 (DE-576)281283788 1579-1505 nnns volume:116 year:2022 number:4 elocationid:155 pages:1-23 http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0192686 Resolving-System kostenfrei https://doi.org/10.15480/882.4499 Resolving-System kostenfrei http://hdl.handle.net/11420/13269 Resolving-System kostenfrei https://doi.org/10.1007/s13398-022-01295-5 Resolving-System GBV_USEFLAG_U GBV_ILN_23 ISIL_DE-830 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER DSpace AR 116 2022 4 155 1-23 045F 510: Mathematik 23 01 0830 4177247367 tuhh Elektronischer Volltext f z 09-08-22 2403 01 DE-LFER 4193110915 00 --%%-- --%%-- n --%%-- l01 28-09-22 23 01 0830 https://doi.org/10.15480/882.4499 LF 2403 01 DE-LFER https://doi.org/10.1007/s13398-022-01295-5 2403 01 DE-LFER http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0192686 23 01 0830 tuhh 23 01 0830 tubdok
spelling	urn:nbn:de:gbv:830-882.0192686 urn 10.15480/882.4499 doi 10.1007/s13398-022-01295-5 doi 11420/13269 hdl (DE-627)1813891079 (DE-599)KXP1813891079 DE-627 ger DE-627 rda eng 510: Mathematik Kruse, Karsten 1984- verfasserin (DE-588)1055972765 (DE-627)79299843X (DE-576)411984411 aut The abstract Cauchy problem in locally convex spaces Karsten Kruse 2022 Diagramme Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik DE-830 Open Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_abf2 We derive necessary and sufficient criteria for the uniqueness and existence of solutions of the abstract Cauchy problem in locally convex Hausdorff spaces. Our approach is based on a suitable notion of an asymptotic Laplace transform and extends results of Langenbruch beyond the class of Fréchet spaces. DE-830 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ abstract Cauchy problem DSpace asymptotic Laplace transform DSpace asymptotic resolvent DSpace hyperfunction DSpace Technische Universität Hamburg (DE-588)1112763473 (DE-627)866918418 (DE-576)476770564 oth Technische Universität Hamburg Institut für Mathematik (DE-588)1170812678 (DE-627)1040092225 (DE-576)512657130 oth Enthalten in Real Academia de Ciencias Exactas, Físicas y Naturales (Madrid) Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales . Serie A, Matemáticas Heidelberg [u.a.] : Springer, 2001 116(2022), 4, Artikel-ID 155, Seite 1-23 Online-Ressource (DE-627)495744433 (DE-600)2198482-7 (DE-576)281283788 1579-1505 nnns volume:116 year:2022 number:4 elocationid:155 pages:1-23 http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0192686 Resolving-System kostenfrei https://doi.org/10.15480/882.4499 Resolving-System kostenfrei http://hdl.handle.net/11420/13269 Resolving-System kostenfrei https://doi.org/10.1007/s13398-022-01295-5 Resolving-System GBV_USEFLAG_U GBV_ILN_23 ISIL_DE-830 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER DSpace AR 116 2022 4 155 1-23 045F 510: Mathematik 23 01 0830 4177247367 tuhh Elektronischer Volltext f z 09-08-22 2403 01 DE-LFER 4193110915 00 --%%-- --%%-- n --%%-- l01 28-09-22 23 01 0830 https://doi.org/10.15480/882.4499 LF 2403 01 DE-LFER https://doi.org/10.1007/s13398-022-01295-5 2403 01 DE-LFER http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0192686 23 01 0830 tuhh 23 01 0830 tubdok
allfields_unstemmed	urn:nbn:de:gbv:830-882.0192686 urn 10.15480/882.4499 doi 10.1007/s13398-022-01295-5 doi 11420/13269 hdl (DE-627)1813891079 (DE-599)KXP1813891079 DE-627 ger DE-627 rda eng 510: Mathematik Kruse, Karsten 1984- verfasserin (DE-588)1055972765 (DE-627)79299843X (DE-576)411984411 aut The abstract Cauchy problem in locally convex spaces Karsten Kruse 2022 Diagramme Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik DE-830 Open Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_abf2 We derive necessary and sufficient criteria for the uniqueness and existence of solutions of the abstract Cauchy problem in locally convex Hausdorff spaces. Our approach is based on a suitable notion of an asymptotic Laplace transform and extends results of Langenbruch beyond the class of Fréchet spaces. DE-830 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ abstract Cauchy problem DSpace asymptotic Laplace transform DSpace asymptotic resolvent DSpace hyperfunction DSpace Technische Universität Hamburg (DE-588)1112763473 (DE-627)866918418 (DE-576)476770564 oth Technische Universität Hamburg Institut für Mathematik (DE-588)1170812678 (DE-627)1040092225 (DE-576)512657130 oth Enthalten in Real Academia de Ciencias Exactas, Físicas y Naturales (Madrid) Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales . Serie A, Matemáticas Heidelberg [u.a.] : Springer, 2001 116(2022), 4, Artikel-ID 155, Seite 1-23 Online-Ressource (DE-627)495744433 (DE-600)2198482-7 (DE-576)281283788 1579-1505 nnns volume:116 year:2022 number:4 elocationid:155 pages:1-23 http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0192686 Resolving-System kostenfrei https://doi.org/10.15480/882.4499 Resolving-System kostenfrei http://hdl.handle.net/11420/13269 Resolving-System kostenfrei https://doi.org/10.1007/s13398-022-01295-5 Resolving-System GBV_USEFLAG_U GBV_ILN_23 ISIL_DE-830 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER DSpace AR 116 2022 4 155 1-23 045F 510: Mathematik 23 01 0830 4177247367 tuhh Elektronischer Volltext f z 09-08-22 2403 01 DE-LFER 4193110915 00 --%%-- --%%-- n --%%-- l01 28-09-22 23 01 0830 https://doi.org/10.15480/882.4499 LF 2403 01 DE-LFER https://doi.org/10.1007/s13398-022-01295-5 2403 01 DE-LFER http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0192686 23 01 0830 tuhh 23 01 0830 tubdok
allfieldsGer	urn:nbn:de:gbv:830-882.0192686 urn 10.15480/882.4499 doi 10.1007/s13398-022-01295-5 doi 11420/13269 hdl (DE-627)1813891079 (DE-599)KXP1813891079 DE-627 ger DE-627 rda eng 510: Mathematik Kruse, Karsten 1984- verfasserin (DE-588)1055972765 (DE-627)79299843X (DE-576)411984411 aut The abstract Cauchy problem in locally convex spaces Karsten Kruse 2022 Diagramme Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik DE-830 Open Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_abf2 We derive necessary and sufficient criteria for the uniqueness and existence of solutions of the abstract Cauchy problem in locally convex Hausdorff spaces. Our approach is based on a suitable notion of an asymptotic Laplace transform and extends results of Langenbruch beyond the class of Fréchet spaces. DE-830 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ abstract Cauchy problem DSpace asymptotic Laplace transform DSpace asymptotic resolvent DSpace hyperfunction DSpace Technische Universität Hamburg (DE-588)1112763473 (DE-627)866918418 (DE-576)476770564 oth Technische Universität Hamburg Institut für Mathematik (DE-588)1170812678 (DE-627)1040092225 (DE-576)512657130 oth Enthalten in Real Academia de Ciencias Exactas, Físicas y Naturales (Madrid) Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales . Serie A, Matemáticas Heidelberg [u.a.] : Springer, 2001 116(2022), 4, Artikel-ID 155, Seite 1-23 Online-Ressource (DE-627)495744433 (DE-600)2198482-7 (DE-576)281283788 1579-1505 nnns volume:116 year:2022 number:4 elocationid:155 pages:1-23 http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0192686 Resolving-System kostenfrei https://doi.org/10.15480/882.4499 Resolving-System kostenfrei http://hdl.handle.net/11420/13269 Resolving-System kostenfrei https://doi.org/10.1007/s13398-022-01295-5 Resolving-System GBV_USEFLAG_U GBV_ILN_23 ISIL_DE-830 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER DSpace AR 116 2022 4 155 1-23 045F 510: Mathematik 23 01 0830 4177247367 tuhh Elektronischer Volltext f z 09-08-22 2403 01 DE-LFER 4193110915 00 --%%-- --%%-- n --%%-- l01 28-09-22 23 01 0830 https://doi.org/10.15480/882.4499 LF 2403 01 DE-LFER https://doi.org/10.1007/s13398-022-01295-5 2403 01 DE-LFER http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0192686 23 01 0830 tuhh 23 01 0830 tubdok
allfieldsSound	urn:nbn:de:gbv:830-882.0192686 urn 10.15480/882.4499 doi 10.1007/s13398-022-01295-5 doi 11420/13269 hdl (DE-627)1813891079 (DE-599)KXP1813891079 DE-627 ger DE-627 rda eng 510: Mathematik Kruse, Karsten 1984- verfasserin (DE-588)1055972765 (DE-627)79299843X (DE-576)411984411 aut The abstract Cauchy problem in locally convex spaces Karsten Kruse 2022 Diagramme Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik DE-830 Open Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_abf2 We derive necessary and sufficient criteria for the uniqueness and existence of solutions of the abstract Cauchy problem in locally convex Hausdorff spaces. Our approach is based on a suitable notion of an asymptotic Laplace transform and extends results of Langenbruch beyond the class of Fréchet spaces. DE-830 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ abstract Cauchy problem DSpace asymptotic Laplace transform DSpace asymptotic resolvent DSpace hyperfunction DSpace Technische Universität Hamburg (DE-588)1112763473 (DE-627)866918418 (DE-576)476770564 oth Technische Universität Hamburg Institut für Mathematik (DE-588)1170812678 (DE-627)1040092225 (DE-576)512657130 oth Enthalten in Real Academia de Ciencias Exactas, Físicas y Naturales (Madrid) Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales . Serie A, Matemáticas Heidelberg [u.a.] : Springer, 2001 116(2022), 4, Artikel-ID 155, Seite 1-23 Online-Ressource (DE-627)495744433 (DE-600)2198482-7 (DE-576)281283788 1579-1505 nnns volume:116 year:2022 number:4 elocationid:155 pages:1-23 http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0192686 Resolving-System kostenfrei https://doi.org/10.15480/882.4499 Resolving-System kostenfrei http://hdl.handle.net/11420/13269 Resolving-System kostenfrei https://doi.org/10.1007/s13398-022-01295-5 Resolving-System GBV_USEFLAG_U GBV_ILN_23 ISIL_DE-830 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER DSpace AR 116 2022 4 155 1-23 045F 510: Mathematik 23 01 0830 4177247367 tuhh Elektronischer Volltext f z 09-08-22 2403 01 DE-LFER 4193110915 00 --%%-- --%%-- n --%%-- l01 28-09-22 23 01 0830 https://doi.org/10.15480/882.4499 LF 2403 01 DE-LFER https://doi.org/10.1007/s13398-022-01295-5 2403 01 DE-LFER http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0192686 23 01 0830 tuhh 23 01 0830 tubdok
language	English
source	Enthalten in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales . Serie A, Matemáticas 116(2022), 4, Artikel-ID 155, Seite 1-23 volume:116 year:2022 number:4 elocationid:155 pages:1-23
sourceStr	Enthalten in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales . Serie A, Matemáticas 116(2022), 4, Artikel-ID 155, Seite 1-23 volume:116 year:2022 number:4 elocationid:155 pages:1-23
format_phy_str_mv	Article
institution	findex.gbv.de
selectbib_iln_str_mv	23@ 2403@01
dewey-raw	510: Mathematik
authorswithroles_txt_mv	Kruse, Karsten @@aut@@
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spellingShingle	Kruse, Karsten 1984- ddc 510: Mathematik DSpace abstract Cauchy problem DSpace asymptotic Laplace transform DSpace asymptotic resolvent DSpace hyperfunction The abstract Cauchy problem in locally convex spaces
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topic	ddc 510: Mathematik DSpace abstract Cauchy problem DSpace asymptotic Laplace transform DSpace asymptotic resolvent DSpace hyperfunction
topic_unstemmed	ddc 510: Mathematik DSpace abstract Cauchy problem DSpace asymptotic Laplace transform DSpace asymptotic resolvent DSpace hyperfunction
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title_short	The abstract Cauchy problem in locally convex spaces
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GND_str_mv	Kruse, Karsten University of Technology (Hamburg) TU Hamburg Technical University (Hamburg) Université de Technologie de Hambourg Hamburg University of Technology Technische Universität Hamburg Institute of Mathematics (Hamburg) Institut E-10 Technische Universität Hamburg. Studiendekanat Elektrotechnik, Informatik und Mathematik. Institut für Mathematik Institut für Mathematik (Hamburg) Technische Universität Hamburg. Institut E-10 Technische Universität Hamburg. Institute of Mathematics Technische Universität Hamburg. Institut für Mathematik
GND_txt_mv	Kruse, Karsten University of Technology (Hamburg) TU Hamburg Technical University (Hamburg) Université de Technologie de Hambourg Hamburg University of Technology Technische Universität Hamburg Institute of Mathematics (Hamburg) Institut E-10 Technische Universität Hamburg. Studiendekanat Elektrotechnik, Informatik und Mathematik. Institut für Mathematik Institut für Mathematik (Hamburg) Technische Universität Hamburg. Institut E-10 Technische Universität Hamburg. Institute of Mathematics Technische Universität Hamburg. Institut für Mathematik
GND_txtF_mv	Kruse, Karsten University of Technology (Hamburg) TU Hamburg Technical University (Hamburg) Université de Technologie de Hambourg Hamburg University of Technology Technische Universität Hamburg Institute of Mathematics (Hamburg) Institut E-10 Technische Universität Hamburg. Studiendekanat Elektrotechnik, Informatik und Mathematik. Institut für Mathematik Institut für Mathematik (Hamburg) Technische Universität Hamburg. Institut E-10 Technische Universität Hamburg. Institute of Mathematics Technische Universität Hamburg. Institut für Mathematik
doi_str	10.15480/882.4499
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up_date	2024-07-04T15:00:40.395Z
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The abstract Cauchy problem in locally convex spaces

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