Existence of solutions for degenerate parabolic equations with singular terms

被引：12

作者：

Dall'Aglio, Andrea ^{[1
]}

Orsina, Luigi ^{[1
]}

Petitta, Francesco ^{[2
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy

[2] Univ Roma La Sapienza, Dipartimento Sci Base & Applicate Ingn, I-00161 Rome, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2016年 / 131卷

关键词：

Nonlinear parabolic equations; Singular parabolic equations; Degenerate parabolic equations; GRADIENT TERM;

D O I：

10.1016/j.na.2015.06.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we deal with parabolic problems whose simplest model is {u' - Delta(p)u + B vertical bar del u vertical bar(p)/u = 0 in (0, T) x Omega, u(0, x) = u(0)(x) in Omega, u(t, x) = 0 on (0, T) x partial derivative Omega, where T > 0, N >= 2, p > 1, B > 0, and u(0) is a positive function in L-infinity(Omega) bounded away from zero. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：273 / 288

页数：16

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