Dirichlet problem for a nonlinear conservation law.

Guy Vallet

Revista Matemática Complutense (2000)

  • Volume: 13, Issue: 1, page 231-250
  • ISSN: 1139-1138

Abstract

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In this paper we propose the study of a first-order non-linear hyperbolic equation in a bounded domain. We give a result of existence and uniqueness of the entropic measure-valued solution and of the entropic weak solution; for some general assumptions on the data.

How to cite

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Vallet, Guy. "Dirichlet problem for a nonlinear conservation law.." Revista Matemática Complutense 13.1 (2000): 231-250. <http://eudml.org/doc/44397>.

@article{Vallet2000,
abstract = {In this paper we propose the study of a first-order non-linear hyperbolic equation in a bounded domain. We give a result of existence and uniqueness of the entropic measure-valued solution and of the entropic weak solution; for some general assumptions on the data.},
author = {Vallet, Guy},
journal = {Revista Matemática Complutense},
keywords = {Ecuaciones diferenciales en derivadas parciales; Problemas hiperbólicos; Problema de Dirichlet; Young measures; existence and uniqueness of the entropic measure-valued solution},
language = {eng},
number = {1},
pages = {231-250},
title = {Dirichlet problem for a nonlinear conservation law.},
url = {http://eudml.org/doc/44397},
volume = {13},
year = {2000},
}

TY - JOUR
AU - Vallet, Guy
TI - Dirichlet problem for a nonlinear conservation law.
JO - Revista Matemática Complutense
PY - 2000
VL - 13
IS - 1
SP - 231
EP - 250
AB - In this paper we propose the study of a first-order non-linear hyperbolic equation in a bounded domain. We give a result of existence and uniqueness of the entropic measure-valued solution and of the entropic weak solution; for some general assumptions on the data.
LA - eng
KW - Ecuaciones diferenciales en derivadas parciales; Problemas hiperbólicos; Problema de Dirichlet; Young measures; existence and uniqueness of the entropic measure-valued solution
UR - http://eudml.org/doc/44397
ER -

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