Stability properties for quasilinear parabolic equations with measure data

被引：5

作者：

Bidaut-Veron, Marie-Francoise ^{[1
]}

Nguyen Quoc Hung ^{[1
]}

机构：

[1] CNRS, Lab Math & Phys Theor, Fac Sci, UMR 7350, F-37200 Tours, France

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2015年 / 17卷 / 09期

关键词：

Quasilinear parabolic equations; measure data; renormalized solutions; stability; Landes-time approximations; Steklov time-averages; RENORMALIZED SOLUTIONS; EXISTENCE; CAPACITY; ENTROPY;

D O I：

10.4171/JEMS/552

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Omega be a bounded domain in R-N, and Q = Omega x (0, T). We study problems of the model type {u(t) - Delta(p)u = mu in Q, u = 0 on partial derivative Omega x (0, T), u(0) = u(0) in Omega, where p > 1, mu is an element of M-b(Q) and u(0) is an element of L-1 (Omega). Our main result is a stability theorem extending the results of Dal Maso, Murat, Orsina and Prignet for the elliptic case, valid for quasilinear operators u bar right arrow A(u) = div(A(x, t, del u)).

引用

页码：2103 / 2135

页数：33

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