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.
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页码：273 / 288
页数：16
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