A note on maximal solutions of nonlinear parabolic equations with absorption

被引：3
作者：
Veron, Laurent [1 ]
机构：
[1] Univ Tours, Lab Math & Phys Theor, Tours, France
来源：
ASYMPTOTIC ANALYSIS | 2011年 / 72卷 / 3-4期
关键词：
elliptic equations; parabolic equations; singular solutions; Wiener criterion; UNIQUENESS;
D O I：
10.3233/ASY-2011-1030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
If Omega is a bounded domain in R-N and f a continuous nondecreasing function satisfying a super linear growth condition at infinity, we study the existence and uniqueness of solutions for the problem (P): partial derivative(t)u - Delta u + f(u) = 0 in Q(infinity)(Omega) := Omega x (0, infinity), u = infinity on the parabolic boundary partial derivative(p)Q. We prove that in most cases, the existence and uniqueness is reduced to the same property for the associated stationary equation in Omega.
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收藏
页码：189 / 200
页数：12
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