Lp Theory for Super-Parabolic Backward Stochastic Partial Differential Equations in the Whole Space
Abstract This paper is concerned with semi-linear backward stochastic partial differential equations (BSPDEs for short) of super-parabolic type. An Lp-theory is given for the Cauchy problem of BSPDEs, separately for the case of p∈(1,2] and for the case of p∈(2,∞). A comparison theorem is also addres...
Ausführliche Beschreibung
Autor*in: |
Du, Kai [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2011 |
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Schlagwörter: |
Backward stochastic differential equation Stochastic partial differential equation |
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Anmerkung: |
© Springer Science+Business Media, LLC 2011 |
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Übergeordnetes Werk: |
Enthalten in: Applied mathematics & optimization - Springer-Verlag, 1974, 65(2011), 2 vom: 07. Dez., Seite 175-219 |
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Übergeordnetes Werk: |
volume:65 ; year:2011 ; number:2 ; day:07 ; month:12 ; pages:175-219 |
Links: |
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DOI / URN: |
10.1007/s00245-011-9154-9 |
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Katalog-ID: |
OLC2072642833 |
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10.1007/s00245-011-9154-9 doi (DE-627)OLC2072642833 (DE-He213)s00245-011-9154-9-p DE-627 ger DE-627 rakwb eng 510 VZ Du, Kai verfasserin aut Lp Theory for Super-Parabolic Backward Stochastic Partial Differential Equations in the Whole Space 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2011 Abstract This paper is concerned with semi-linear backward stochastic partial differential equations (BSPDEs for short) of super-parabolic type. An Lp-theory is given for the Cauchy problem of BSPDEs, separately for the case of p∈(1,2] and for the case of p∈(2,∞). A comparison theorem is also addressed. Backward stochastic differential equation Stochastic partial differential equation Backward stochastic partial differential equation Bessel potentials Qiu, Jinniao aut Tang, Shanjian aut Enthalten in Applied mathematics & optimization Springer-Verlag, 1974 65(2011), 2 vom: 07. Dez., Seite 175-219 (DE-627)129095184 (DE-600)7418-4 (DE-576)014431300 0095-4616 nnns volume:65 year:2011 number:2 day:07 month:12 pages:175-219 https://doi.org/10.1007/s00245-011-9154-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_24 GBV_ILN_32 GBV_ILN_60 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4700 AR 65 2011 2 07 12 175-219 |
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10.1007/s00245-011-9154-9 doi (DE-627)OLC2072642833 (DE-He213)s00245-011-9154-9-p DE-627 ger DE-627 rakwb eng 510 VZ Du, Kai verfasserin aut Lp Theory for Super-Parabolic Backward Stochastic Partial Differential Equations in the Whole Space 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2011 Abstract This paper is concerned with semi-linear backward stochastic partial differential equations (BSPDEs for short) of super-parabolic type. An Lp-theory is given for the Cauchy problem of BSPDEs, separately for the case of p∈(1,2] and for the case of p∈(2,∞). A comparison theorem is also addressed. Backward stochastic differential equation Stochastic partial differential equation Backward stochastic partial differential equation Bessel potentials Qiu, Jinniao aut Tang, Shanjian aut Enthalten in Applied mathematics & optimization Springer-Verlag, 1974 65(2011), 2 vom: 07. Dez., Seite 175-219 (DE-627)129095184 (DE-600)7418-4 (DE-576)014431300 0095-4616 nnns volume:65 year:2011 number:2 day:07 month:12 pages:175-219 https://doi.org/10.1007/s00245-011-9154-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_24 GBV_ILN_32 GBV_ILN_60 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4700 AR 65 2011 2 07 12 175-219 |
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10.1007/s00245-011-9154-9 doi (DE-627)OLC2072642833 (DE-He213)s00245-011-9154-9-p DE-627 ger DE-627 rakwb eng 510 VZ Du, Kai verfasserin aut Lp Theory for Super-Parabolic Backward Stochastic Partial Differential Equations in the Whole Space 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2011 Abstract This paper is concerned with semi-linear backward stochastic partial differential equations (BSPDEs for short) of super-parabolic type. An Lp-theory is given for the Cauchy problem of BSPDEs, separately for the case of p∈(1,2] and for the case of p∈(2,∞). A comparison theorem is also addressed. Backward stochastic differential equation Stochastic partial differential equation Backward stochastic partial differential equation Bessel potentials Qiu, Jinniao aut Tang, Shanjian aut Enthalten in Applied mathematics & optimization Springer-Verlag, 1974 65(2011), 2 vom: 07. Dez., Seite 175-219 (DE-627)129095184 (DE-600)7418-4 (DE-576)014431300 0095-4616 nnns volume:65 year:2011 number:2 day:07 month:12 pages:175-219 https://doi.org/10.1007/s00245-011-9154-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_24 GBV_ILN_32 GBV_ILN_60 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4700 AR 65 2011 2 07 12 175-219 |
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Abstract This paper is concerned with semi-linear backward stochastic partial differential equations (BSPDEs for short) of super-parabolic type. An Lp-theory is given for the Cauchy problem of BSPDEs, separately for the case of p∈(1,2] and for the case of p∈(2,∞). A comparison theorem is also addressed. © Springer Science+Business Media, LLC 2011 |
abstractGer |
Abstract This paper is concerned with semi-linear backward stochastic partial differential equations (BSPDEs for short) of super-parabolic type. An Lp-theory is given for the Cauchy problem of BSPDEs, separately for the case of p∈(1,2] and for the case of p∈(2,∞). A comparison theorem is also addressed. © Springer Science+Business Media, LLC 2011 |
abstract_unstemmed |
Abstract This paper is concerned with semi-linear backward stochastic partial differential equations (BSPDEs for short) of super-parabolic type. An Lp-theory is given for the Cauchy problem of BSPDEs, separately for the case of p∈(1,2] and for the case of p∈(2,∞). A comparison theorem is also addressed. © Springer Science+Business Media, LLC 2011 |
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title_short |
Lp Theory for Super-Parabolic Backward Stochastic Partial Differential Equations in the Whole Space |
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https://doi.org/10.1007/s00245-011-9154-9 |
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Qiu, Jinniao Tang, Shanjian |
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