Rates of convergence and metastability for abstract Cauchy problems generated by accretive operators
We extract rates of convergence and rates of metastability (in the sense of Tao) for convergence results regarding abstract Cauchy problems generated by ϕ-accretive at zero operators A : D ( A ) ( ⊆ X ) → 2 X where X is a real Banach space, proved in [8], by proof-theoretic analysis of the proofs in...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Kohlenbach, Ulrich [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015transfer abstract |
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| Schlagwörter: |
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| Umfang: |
24 |
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| Übergeordnetes Werk: |
Enthalten in: In silico drug repurposing in COVID-19: A network-based analysis - Sibilio, Pasquale ELSEVIER, 2021, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:423 ; year:2015 ; number:2 ; day:15 ; month:03 ; pages:1089-1112 ; extent:24 |
| Links: |
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| DOI / URN: |
10.1016/j.jmaa.2014.10.035 |
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ELV024018643 |
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| 520 | |a We extract rates of convergence and rates of metastability (in the sense of Tao) for convergence results regarding abstract Cauchy problems generated by ϕ-accretive at zero operators A : D ( A ) ( ⊆ X ) → 2 X where X is a real Banach space, proved in [8], by proof-theoretic analysis of the proofs in [8] and having assumed a new, stronger notion of uniform accretivity at zero, yielding a new notion of modulus of accretivity. We compute the rate of metastability for the convergence of the solution of the abstract Cauchy problem generated by a uniformly accretive at zero operator to the unique zero of A via proof mining based on a result by the first author. Finally, we apply our results to a special class of Cauchy problems considered in [8]. This work is the first application of proof mining to the theory of partial differential equations. | ||
| 520 | |a We extract rates of convergence and rates of metastability (in the sense of Tao) for convergence results regarding abstract Cauchy problems generated by ϕ-accretive at zero operators A : D ( A ) ( ⊆ X ) → 2 X where X is a real Banach space, proved in [8], by proof-theoretic analysis of the proofs in [8] and having assumed a new, stronger notion of uniform accretivity at zero, yielding a new notion of modulus of accretivity. We compute the rate of metastability for the convergence of the solution of the abstract Cauchy problem generated by a uniformly accretive at zero operator to the unique zero of A via proof mining based on a result by the first author. Finally, we apply our results to a special class of Cauchy problems considered in [8]. This work is the first application of proof mining to the theory of partial differential equations. | ||
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10.1016/j.jmaa.2014.10.035 doi GBVA2015022000020.pica (DE-627)ELV024018643 (ELSEVIER)S0022-247X(14)00962-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Kohlenbach, Ulrich verfasserin aut Rates of convergence and metastability for abstract Cauchy problems generated by accretive operators 2015transfer abstract 24 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We extract rates of convergence and rates of metastability (in the sense of Tao) for convergence results regarding abstract Cauchy problems generated by ϕ-accretive at zero operators A : D ( A ) ( ⊆ X ) → 2 X where X is a real Banach space, proved in [8], by proof-theoretic analysis of the proofs in [8] and having assumed a new, stronger notion of uniform accretivity at zero, yielding a new notion of modulus of accretivity. We compute the rate of metastability for the convergence of the solution of the abstract Cauchy problem generated by a uniformly accretive at zero operator to the unique zero of A via proof mining based on a result by the first author. Finally, we apply our results to a special class of Cauchy problems considered in [8]. This work is the first application of proof mining to the theory of partial differential equations. We extract rates of convergence and rates of metastability (in the sense of Tao) for convergence results regarding abstract Cauchy problems generated by ϕ-accretive at zero operators A : D ( A ) ( ⊆ X ) → 2 X where X is a real Banach space, proved in [8], by proof-theoretic analysis of the proofs in [8] and having assumed a new, stronger notion of uniform accretivity at zero, yielding a new notion of modulus of accretivity. We compute the rate of metastability for the convergence of the solution of the abstract Cauchy problem generated by a uniformly accretive at zero operator to the unique zero of A via proof mining based on a result by the first author. Finally, we apply our results to a special class of Cauchy problems considered in [8]. This work is the first application of proof mining to the theory of partial differential equations. Cauchy problems Elsevier Partial differential equations Elsevier Proof mining Elsevier Rate of metastability Elsevier Rate of convergence Elsevier Accretive operator Elsevier Koutsoukou-Argyraki, Angeliki oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:423 year:2015 number:2 day:15 month:03 pages:1089-1112 extent:24 https://doi.org/10.1016/j.jmaa.2014.10.035 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 423 2015 2 15 0315 1089-1112 24 045F 510 |
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10.1016/j.jmaa.2014.10.035 doi GBVA2015022000020.pica (DE-627)ELV024018643 (ELSEVIER)S0022-247X(14)00962-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Kohlenbach, Ulrich verfasserin aut Rates of convergence and metastability for abstract Cauchy problems generated by accretive operators 2015transfer abstract 24 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We extract rates of convergence and rates of metastability (in the sense of Tao) for convergence results regarding abstract Cauchy problems generated by ϕ-accretive at zero operators A : D ( A ) ( ⊆ X ) → 2 X where X is a real Banach space, proved in [8], by proof-theoretic analysis of the proofs in [8] and having assumed a new, stronger notion of uniform accretivity at zero, yielding a new notion of modulus of accretivity. We compute the rate of metastability for the convergence of the solution of the abstract Cauchy problem generated by a uniformly accretive at zero operator to the unique zero of A via proof mining based on a result by the first author. Finally, we apply our results to a special class of Cauchy problems considered in [8]. This work is the first application of proof mining to the theory of partial differential equations. We extract rates of convergence and rates of metastability (in the sense of Tao) for convergence results regarding abstract Cauchy problems generated by ϕ-accretive at zero operators A : D ( A ) ( ⊆ X ) → 2 X where X is a real Banach space, proved in [8], by proof-theoretic analysis of the proofs in [8] and having assumed a new, stronger notion of uniform accretivity at zero, yielding a new notion of modulus of accretivity. We compute the rate of metastability for the convergence of the solution of the abstract Cauchy problem generated by a uniformly accretive at zero operator to the unique zero of A via proof mining based on a result by the first author. Finally, we apply our results to a special class of Cauchy problems considered in [8]. This work is the first application of proof mining to the theory of partial differential equations. Cauchy problems Elsevier Partial differential equations Elsevier Proof mining Elsevier Rate of metastability Elsevier Rate of convergence Elsevier Accretive operator Elsevier Koutsoukou-Argyraki, Angeliki oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:423 year:2015 number:2 day:15 month:03 pages:1089-1112 extent:24 https://doi.org/10.1016/j.jmaa.2014.10.035 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 423 2015 2 15 0315 1089-1112 24 045F 510 |
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10.1016/j.jmaa.2014.10.035 doi GBVA2015022000020.pica (DE-627)ELV024018643 (ELSEVIER)S0022-247X(14)00962-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Kohlenbach, Ulrich verfasserin aut Rates of convergence and metastability for abstract Cauchy problems generated by accretive operators 2015transfer abstract 24 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We extract rates of convergence and rates of metastability (in the sense of Tao) for convergence results regarding abstract Cauchy problems generated by ϕ-accretive at zero operators A : D ( A ) ( ⊆ X ) → 2 X where X is a real Banach space, proved in [8], by proof-theoretic analysis of the proofs in [8] and having assumed a new, stronger notion of uniform accretivity at zero, yielding a new notion of modulus of accretivity. We compute the rate of metastability for the convergence of the solution of the abstract Cauchy problem generated by a uniformly accretive at zero operator to the unique zero of A via proof mining based on a result by the first author. Finally, we apply our results to a special class of Cauchy problems considered in [8]. This work is the first application of proof mining to the theory of partial differential equations. We extract rates of convergence and rates of metastability (in the sense of Tao) for convergence results regarding abstract Cauchy problems generated by ϕ-accretive at zero operators A : D ( A ) ( ⊆ X ) → 2 X where X is a real Banach space, proved in [8], by proof-theoretic analysis of the proofs in [8] and having assumed a new, stronger notion of uniform accretivity at zero, yielding a new notion of modulus of accretivity. We compute the rate of metastability for the convergence of the solution of the abstract Cauchy problem generated by a uniformly accretive at zero operator to the unique zero of A via proof mining based on a result by the first author. Finally, we apply our results to a special class of Cauchy problems considered in [8]. This work is the first application of proof mining to the theory of partial differential equations. Cauchy problems Elsevier Partial differential equations Elsevier Proof mining Elsevier Rate of metastability Elsevier Rate of convergence Elsevier Accretive operator Elsevier Koutsoukou-Argyraki, Angeliki oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:423 year:2015 number:2 day:15 month:03 pages:1089-1112 extent:24 https://doi.org/10.1016/j.jmaa.2014.10.035 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 423 2015 2 15 0315 1089-1112 24 045F 510 |
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10.1016/j.jmaa.2014.10.035 doi GBVA2015022000020.pica (DE-627)ELV024018643 (ELSEVIER)S0022-247X(14)00962-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Kohlenbach, Ulrich verfasserin aut Rates of convergence and metastability for abstract Cauchy problems generated by accretive operators 2015transfer abstract 24 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We extract rates of convergence and rates of metastability (in the sense of Tao) for convergence results regarding abstract Cauchy problems generated by ϕ-accretive at zero operators A : D ( A ) ( ⊆ X ) → 2 X where X is a real Banach space, proved in [8], by proof-theoretic analysis of the proofs in [8] and having assumed a new, stronger notion of uniform accretivity at zero, yielding a new notion of modulus of accretivity. We compute the rate of metastability for the convergence of the solution of the abstract Cauchy problem generated by a uniformly accretive at zero operator to the unique zero of A via proof mining based on a result by the first author. Finally, we apply our results to a special class of Cauchy problems considered in [8]. This work is the first application of proof mining to the theory of partial differential equations. We extract rates of convergence and rates of metastability (in the sense of Tao) for convergence results regarding abstract Cauchy problems generated by ϕ-accretive at zero operators A : D ( A ) ( ⊆ X ) → 2 X where X is a real Banach space, proved in [8], by proof-theoretic analysis of the proofs in [8] and having assumed a new, stronger notion of uniform accretivity at zero, yielding a new notion of modulus of accretivity. We compute the rate of metastability for the convergence of the solution of the abstract Cauchy problem generated by a uniformly accretive at zero operator to the unique zero of A via proof mining based on a result by the first author. Finally, we apply our results to a special class of Cauchy problems considered in [8]. This work is the first application of proof mining to the theory of partial differential equations. Cauchy problems Elsevier Partial differential equations Elsevier Proof mining Elsevier Rate of metastability Elsevier Rate of convergence Elsevier Accretive operator Elsevier Koutsoukou-Argyraki, Angeliki oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:423 year:2015 number:2 day:15 month:03 pages:1089-1112 extent:24 https://doi.org/10.1016/j.jmaa.2014.10.035 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 423 2015 2 15 0315 1089-1112 24 045F 510 |
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10.1016/j.jmaa.2014.10.035 doi GBVA2015022000020.pica (DE-627)ELV024018643 (ELSEVIER)S0022-247X(14)00962-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Kohlenbach, Ulrich verfasserin aut Rates of convergence and metastability for abstract Cauchy problems generated by accretive operators 2015transfer abstract 24 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We extract rates of convergence and rates of metastability (in the sense of Tao) for convergence results regarding abstract Cauchy problems generated by ϕ-accretive at zero operators A : D ( A ) ( ⊆ X ) → 2 X where X is a real Banach space, proved in [8], by proof-theoretic analysis of the proofs in [8] and having assumed a new, stronger notion of uniform accretivity at zero, yielding a new notion of modulus of accretivity. We compute the rate of metastability for the convergence of the solution of the abstract Cauchy problem generated by a uniformly accretive at zero operator to the unique zero of A via proof mining based on a result by the first author. Finally, we apply our results to a special class of Cauchy problems considered in [8]. This work is the first application of proof mining to the theory of partial differential equations. We extract rates of convergence and rates of metastability (in the sense of Tao) for convergence results regarding abstract Cauchy problems generated by ϕ-accretive at zero operators A : D ( A ) ( ⊆ X ) → 2 X where X is a real Banach space, proved in [8], by proof-theoretic analysis of the proofs in [8] and having assumed a new, stronger notion of uniform accretivity at zero, yielding a new notion of modulus of accretivity. We compute the rate of metastability for the convergence of the solution of the abstract Cauchy problem generated by a uniformly accretive at zero operator to the unique zero of A via proof mining based on a result by the first author. Finally, we apply our results to a special class of Cauchy problems considered in [8]. This work is the first application of proof mining to the theory of partial differential equations. Cauchy problems Elsevier Partial differential equations Elsevier Proof mining Elsevier Rate of metastability Elsevier Rate of convergence Elsevier Accretive operator Elsevier Koutsoukou-Argyraki, Angeliki oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:423 year:2015 number:2 day:15 month:03 pages:1089-1112 extent:24 https://doi.org/10.1016/j.jmaa.2014.10.035 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 423 2015 2 15 0315 1089-1112 24 045F 510 |
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In silico drug repurposing in COVID-19: A network-based analysis |
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Rates of convergence and metastability for abstract Cauchy problems generated by accretive operators |
| abstract |
We extract rates of convergence and rates of metastability (in the sense of Tao) for convergence results regarding abstract Cauchy problems generated by ϕ-accretive at zero operators A : D ( A ) ( ⊆ X ) → 2 X where X is a real Banach space, proved in [8], by proof-theoretic analysis of the proofs in [8] and having assumed a new, stronger notion of uniform accretivity at zero, yielding a new notion of modulus of accretivity. We compute the rate of metastability for the convergence of the solution of the abstract Cauchy problem generated by a uniformly accretive at zero operator to the unique zero of A via proof mining based on a result by the first author. Finally, we apply our results to a special class of Cauchy problems considered in [8]. This work is the first application of proof mining to the theory of partial differential equations. |
| abstractGer |
We extract rates of convergence and rates of metastability (in the sense of Tao) for convergence results regarding abstract Cauchy problems generated by ϕ-accretive at zero operators A : D ( A ) ( ⊆ X ) → 2 X where X is a real Banach space, proved in [8], by proof-theoretic analysis of the proofs in [8] and having assumed a new, stronger notion of uniform accretivity at zero, yielding a new notion of modulus of accretivity. We compute the rate of metastability for the convergence of the solution of the abstract Cauchy problem generated by a uniformly accretive at zero operator to the unique zero of A via proof mining based on a result by the first author. Finally, we apply our results to a special class of Cauchy problems considered in [8]. This work is the first application of proof mining to the theory of partial differential equations. |
| abstract_unstemmed |
We extract rates of convergence and rates of metastability (in the sense of Tao) for convergence results regarding abstract Cauchy problems generated by ϕ-accretive at zero operators A : D ( A ) ( ⊆ X ) → 2 X where X is a real Banach space, proved in [8], by proof-theoretic analysis of the proofs in [8] and having assumed a new, stronger notion of uniform accretivity at zero, yielding a new notion of modulus of accretivity. We compute the rate of metastability for the convergence of the solution of the abstract Cauchy problem generated by a uniformly accretive at zero operator to the unique zero of A via proof mining based on a result by the first author. Finally, we apply our results to a special class of Cauchy problems considered in [8]. This work is the first application of proof mining to the theory of partial differential equations. |
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Rates of convergence and metastability for abstract Cauchy problems generated by accretive operators |
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