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Title:	On maps with given jacobians involving the heat equation
Author:	Avinyó Andrés, Albert; Solà-Morales Rubió, Joan de; València Guitart, Marta
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	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.
Subject(s):	-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
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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