Well-posedness of initial value problems for singular parabolic equations

被引：17
|
作者：
Kersner, R
Tesei, A
机构：
[1] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy
[2] Hungarian Acad Sci, Inst Comp & Automat, H-1518 Budapest, Hungary
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年 / 199卷 / 01期
基金：
匈牙利科学研究基金会;
关键词：
D O I：
10.1016/j.jde.2003.10.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study well-posedness of initial value problems for a class of singular quasilinear parabolic equations in one space dimension. Simple conditions for well-posedness in the space of bounded nonnegative solutions are given, which involve boundedness of solutions of some related linear stationary problems. By a suitable change of unknown, the above results can be applied to classical initial-boundary value problems for parabolic equations with singular coefficients, as the heat equation with inverse square potential. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：47 / 76
页数：30
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