On maps with given jacobians involving the heat equation

In this paper we presennt and analyze two new algorithms to construct a smooth diffeomorphism of a domain with prescribed jacobian function. The first one is free from any restriction on the boundary, while the second one produces a diffeomorphism that coincides with the identity map on the boundary...

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Detalles Bibliográficos
Autores: Avinyó Andrés, Albert, Solà-Morales Rubió, Joan de|||0000-0003-2896-2917, València Guitart, Marta|||0000-0001-9597-3718
Tipo de recurso: artículo
Fecha de publicación:2000
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/791
Acceso en línea:https://hdl.handle.net/2117/791
Access Level:acceso abierto
Palabra clave:Differential equations
Parabolic partial differential equations
Partial differential equations
Prescribed jacobian equation
Hölder regularity
Heat equation
Stokes system
Equacions diferencials -- Teoria asimptòtica
Equacions en derivades parcials
Física matemàtica
Equacions diferencials
Classificació AMS::35 Partial differential equations::35K Parabolic equations and systems
Classificació AMS::34 Ordinary differential equations::34E Asymptotic theory
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
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spelling On maps with given jacobians involving the heat equationAvinyó Andrés, AlbertSolà-Morales Rubió, Joan de|||0000-0003-2896-2917València Guitart, Marta|||0000-0001-9597-3718Differential equationsParabolic partial differential equationsPartial differential equationsPrescribed jacobian equationHölder regularityHeat equationStokes systemEquacions diferencials -- Teoria asimptòticaEquacions en derivades parcialsFísica matemàticaEquacions diferencialsClassificació AMS::35 Partial differential equations::35K Parabolic equations and systemsClassificació AMS::34 Ordinary differential equations::34E Asymptotic theoryClassificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of applicationIn this paper we presennt and analyze two new algorithms to construct a smooth diffeomorphism of a domain with prescribed jacobian function. The first one is free from any restriction on the boundary, while the second one produces a diffeomorphism that coincides with the identity map on the boundary of the domain. Both are based on the solution of an initial value problem for the linear heat equation, and the second also uses solutions of the Stokes system of Fluid Mechanics.20002000-01-0120072007-04-27journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/791reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 2.5 Spainhttp://creativecommons.org/licenses/by-nc-nd/2.5/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/7912026-05-27T15:37:01Z
dc.title.none.fl_str_mv On maps with given jacobians involving the heat equation
title On maps with given jacobians involving the heat equation
spellingShingle On maps with given jacobians involving the heat equation
Avinyó Andrés, Albert
Differential equations
Parabolic partial differential equations
Partial differential equations
Prescribed jacobian equation
Hölder regularity
Heat equation
Stokes system
Equacions diferencials -- Teoria asimptòtica
Equacions en derivades parcials
Física matemàtica
Equacions diferencials
Classificació AMS::35 Partial differential equations::35K Parabolic equations and systems
Classificació AMS::34 Ordinary differential equations::34E Asymptotic theory
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
title_short On maps with given jacobians involving the heat equation
title_full On maps with given jacobians involving the heat equation
title_fullStr On maps with given jacobians involving the heat equation
title_full_unstemmed On maps with given jacobians involving the heat equation
title_sort On maps with given jacobians involving the heat equation
dc.creator.none.fl_str_mv Avinyó Andrés, Albert
Solà-Morales Rubió, Joan de|||0000-0003-2896-2917
València Guitart, Marta|||0000-0001-9597-3718
author Avinyó Andrés, Albert
author_facet Avinyó Andrés, Albert
Solà-Morales Rubió, Joan de|||0000-0003-2896-2917
València Guitart, Marta|||0000-0001-9597-3718
author_role author
author2 Solà-Morales Rubió, Joan de|||0000-0003-2896-2917
València Guitart, Marta|||0000-0001-9597-3718
author2_role author
author
dc.subject.none.fl_str_mv Differential equations
Parabolic partial differential equations
Partial differential equations
Prescribed jacobian equation
Hölder regularity
Heat equation
Stokes system
Equacions diferencials -- Teoria asimptòtica
Equacions en derivades parcials
Física matemàtica
Equacions diferencials
Classificació AMS::35 Partial differential equations::35K Parabolic equations and systems
Classificació AMS::34 Ordinary differential equations::34E Asymptotic theory
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
topic Differential equations
Parabolic partial differential equations
Partial differential equations
Prescribed jacobian equation
Hölder regularity
Heat equation
Stokes system
Equacions diferencials -- Teoria asimptòtica
Equacions en derivades parcials
Física matemàtica
Equacions diferencials
Classificació AMS::35 Partial differential equations::35K Parabolic equations and systems
Classificació AMS::34 Ordinary differential equations::34E Asymptotic theory
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
description In this paper we presennt and analyze two new algorithms to construct a smooth diffeomorphism of a domain with prescribed jacobian function. The first one is free from any restriction on the boundary, while the second one produces a diffeomorphism that coincides with the identity map on the boundary of the domain. Both are based on the solution of an initial value problem for the linear heat equation, and the second also uses solutions of the Stokes system of Fluid Mechanics.
publishDate 2000
dc.date.none.fl_str_mv 2000
2000-01-01
2007
2007-04-27
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/791
url https://hdl.handle.net/2117/791
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
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
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
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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