Some borderline cases of nonlinear parabolic equations with irregular data

被引：3

作者：

Boccardo, Lucio ^{[1
]}

Orsina, Luigi ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat, Ple A Moro 5, I-00185 Rome, Italy

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2016年 / 16卷 / 01期

关键词：

ELLIPTIC-EQUATIONS;

D O I：

10.1007/s00028-015-0292-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove existence of solutions for nonlinear parabolic equations whose model is u' - div (vertical bar del u vertical bar(p-2)del u) = f on Omega x (0, T), with homogeneous Cauchy-Dirichlet boundary conditions, where 1 < p < 2. Here f belongs to L-1 or to L-m , with m "small."

引用

页码：51 / 64

页数：14

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