Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data

Authors:	Jérôme Droniou Alain Prignet

Institution:	(1) Département de Mathématiques CC 051, Université Montpellier II, Place Eugène Bataillon, 34095 Montpellier cedex 5, France;(2) Mathématiques, Université de Marne la Vallée, 5, boulevard Descartes Cité Descartes - Champs-sur-Marne, 77454 Marne-la-Vallée cedex 2, France

Abstract:	We consider the nonlinear heat equation (with Leray-Lions operators) on an open bounded subset of R^N with Dirichlet homogeneous boundary conditions. The initial condition is in L¹ and the right hand side is a smooth measure. We extend a previous notion of entropy solutions and prove that they coincide with the renormalized solutions.

Keywords:	35K55 35D99
本文献已被 SpringerLink 等数据库收录！