Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem

Autores
Herdman, Terry; Spies, Ruben Daniel
Año de publicación
2005
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Sufficient conditions are found under which the solutions z(t; q) of a semilinear abstract Cauchy problem of the form d/dt z(t) = A(q)z(t) + F(q, t, z(t)) are Fréchet differentiable with respect to the parameter q. An explicit form is provided for the sensitivity equation satisfied by the Fréchet derivative Dqz(t; q).
Fil: Herdman, Terry. Virginia Polytechnic Institute And State University;
Fil: Spies, Ruben Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Materia
ABSTRACT CAUCHY PROBLEM
ANALYTIC SEMIGROUP
FRÉCHET DERIVATIVE
FRÉCHET DIFFERENTIABILITY
INFINITESIMAL GENERATOR
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/100630
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/100630
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Fréchet differentiability of the solutions of a semilinear abstract Cauchy problemHerdman, TerrySpies, Ruben DanielABSTRACT CAUCHY PROBLEMANALYTIC SEMIGROUPFRÉCHET DERIVATIVEFRÉCHET DIFFERENTIABILITYINFINITESIMAL GENERATORhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Sufficient conditions are found under which the solutions z(t; q) of a semilinear abstract Cauchy problem of the form d/dt z(t) = A(q)z(t) + F(q, t, z(t)) are Fréchet differentiable with respect to the parameter q. An explicit form is provided for the sensitivity equation satisfied by the Fréchet derivative Dqz(t; q).Fil: Herdman, Terry. Virginia Polytechnic Institute And State University; Fil: Spies, Ruben Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaAcademic Press Inc Elsevier Science2005-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/100630Herdman, Terry; Spies, Ruben Daniel; Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 307; 2; 7-2005; 656-6760022-247XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2005.02.044info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:04:02Zoai:ri.conicet.gov.ar:11336/100630instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-10 13:04:02.932CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem
title Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem
spellingShingle Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem
Herdman, Terry
ABSTRACT CAUCHY PROBLEM
ANALYTIC SEMIGROUP
FRÉCHET DERIVATIVE
FRÉCHET DIFFERENTIABILITY
INFINITESIMAL GENERATOR
title_short Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem
title_full Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem
title_fullStr Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem
title_full_unstemmed Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem
title_sort Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem
dc.creator.none.fl_str_mv Herdman, Terry
Spies, Ruben Daniel
author Herdman, Terry
author_facet Herdman, Terry
Spies, Ruben Daniel
author_role author
author2 Spies, Ruben Daniel
author2_role author
dc.subject.none.fl_str_mv ABSTRACT CAUCHY PROBLEM
ANALYTIC SEMIGROUP
FRÉCHET DERIVATIVE
FRÉCHET DIFFERENTIABILITY
INFINITESIMAL GENERATOR
topic ABSTRACT CAUCHY PROBLEM
ANALYTIC SEMIGROUP
FRÉCHET DERIVATIVE
FRÉCHET DIFFERENTIABILITY
INFINITESIMAL GENERATOR
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Sufficient conditions are found under which the solutions z(t; q) of a semilinear abstract Cauchy problem of the form d/dt z(t) = A(q)z(t) + F(q, t, z(t)) are Fréchet differentiable with respect to the parameter q. An explicit form is provided for the sensitivity equation satisfied by the Fréchet derivative Dqz(t; q).
Fil: Herdman, Terry. Virginia Polytechnic Institute And State University;
Fil: Spies, Ruben Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
description Sufficient conditions are found under which the solutions z(t; q) of a semilinear abstract Cauchy problem of the form d/dt z(t) = A(q)z(t) + F(q, t, z(t)) are Fréchet differentiable with respect to the parameter q. An explicit form is provided for the sensitivity equation satisfied by the Fréchet derivative Dqz(t; q).
publishDate 2005
dc.date.none.fl_str_mv 2005-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/100630
Herdman, Terry; Spies, Ruben Daniel; Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 307; 2; 7-2005; 656-676
0022-247X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/100630
identifier_str_mv Herdman, Terry; Spies, Ruben Daniel; Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 307; 2; 7-2005; 656-676
0022-247X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2005.02.044
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842980124065005568
score 12.993085

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