Well posedness of an angiogenesis related integrodifferential diffusion model

We prove existence and uniqueness of nonnegative solutions for a nonlocal in time integrodifferential diffusion system related to angiogenesis descriptions. Fundamental solutions of appropriately chosen parabolic operators with bounded coefficients allow us to generate sequences of approximate solut...

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Detalles Bibliográficos
Autores: Carpio Rodríguez, Ana María, Duro, Gema
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/23618
Acceso en línea:https://hdl.handle.net/20.500.14352/23618
Access Level:acceso abierto
Palabra clave:519.87
Integrodifferential
Diffusion
Nonlocal
Fundamental solutions
Ecuaciones diferenciales
Investigación operativa (Matemáticas)
Sistema cardiovascular
1202.07 Ecuaciones en Diferencias
1207 Investigación Operativa
2411.03 Fisiología Cardiovascular
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spelling Well posedness of an angiogenesis related integrodifferential diffusion modelCarpio Rodríguez, Ana MaríaDuro, Gema519.87IntegrodifferentialDiffusionNonlocalFundamental solutionsEcuaciones diferencialesInvestigación operativa (Matemáticas)Sistema cardiovascular1202.07 Ecuaciones en Diferencias1207 Investigación Operativa2411.03 Fisiología CardiovascularWe prove existence and uniqueness of nonnegative solutions for a nonlocal in time integrodifferential diffusion system related to angiogenesis descriptions. Fundamental solutions of appropriately chosen parabolic operators with bounded coefficients allow us to generate sequences of approximate solutions. Comparison principles and integral equations provide uniform bounds ensuring some convergence properties for iterative schemes and providing stability bounds. Uniqueness follows from chained integral inequalities.ElsevierUniversidad Complutense de Madrid20162016-01-0120162016-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/23618reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/236182026-06-02T12:44:21Z
dc.title.none.fl_str_mv Well posedness of an angiogenesis related integrodifferential diffusion model
title Well posedness of an angiogenesis related integrodifferential diffusion model
spellingShingle Well posedness of an angiogenesis related integrodifferential diffusion model
Carpio Rodríguez, Ana María
519.87
Integrodifferential
Diffusion
Nonlocal
Fundamental solutions
Ecuaciones diferenciales
Investigación operativa (Matemáticas)
Sistema cardiovascular
1202.07 Ecuaciones en Diferencias
1207 Investigación Operativa
2411.03 Fisiología Cardiovascular
title_short Well posedness of an angiogenesis related integrodifferential diffusion model
title_full Well posedness of an angiogenesis related integrodifferential diffusion model
title_fullStr Well posedness of an angiogenesis related integrodifferential diffusion model
title_full_unstemmed Well posedness of an angiogenesis related integrodifferential diffusion model
title_sort Well posedness of an angiogenesis related integrodifferential diffusion model
dc.creator.none.fl_str_mv Carpio Rodríguez, Ana María
Duro, Gema
author Carpio Rodríguez, Ana María
author_facet Carpio Rodríguez, Ana María
Duro, Gema
author_role author
author2 Duro, Gema
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 519.87
Integrodifferential
Diffusion
Nonlocal
Fundamental solutions
Ecuaciones diferenciales
Investigación operativa (Matemáticas)
Sistema cardiovascular
1202.07 Ecuaciones en Diferencias
1207 Investigación Operativa
2411.03 Fisiología Cardiovascular
topic 519.87
Integrodifferential
Diffusion
Nonlocal
Fundamental solutions
Ecuaciones diferenciales
Investigación operativa (Matemáticas)
Sistema cardiovascular
1202.07 Ecuaciones en Diferencias
1207 Investigación Operativa
2411.03 Fisiología Cardiovascular
description We prove existence and uniqueness of nonnegative solutions for a nonlocal in time integrodifferential diffusion system related to angiogenesis descriptions. Fundamental solutions of appropriately chosen parabolic operators with bounded coefficients allow us to generate sequences of approximate solutions. Comparison principles and integral equations provide uniform bounds ensuring some convergence properties for iterative schemes and providing stability bounds. Uniqueness follows from chained integral inequalities.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01
2016
2016-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/23618
url https://hdl.handle.net/20.500.14352/23618
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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