Singularity and blow-up estimates via Liouville-type theorems for Hardy-H,non parabolic equations

被引：14
|
作者：
Quoc Hung Phan [1 ]
机构：
[1] Univ Paris 13, CNRS, UMR 7539, Lab Anal Geometrie & Applicat, F-93430 Villetaneuse, France
来源：
JOURNAL OF EVOLUTION EQUATIONS | 2013年 / 13卷 / 02期
关键词：
Hardy-Henon parabolic equation; Liouville-type theorem; Universal bounds; A priori estimate; Decay estimate; Blow-up; UNIVERSAL BOUNDS; SUPERLINEAR PROBLEMS; POSITIVE SOLUTIONS; GLOBAL-SOLUTIONS; DECAY; NONEXISTENCE; BEHAVIOR;
D O I：
10.1007/s00028-013-0185-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Hardy-H,non parabolic equation with p > 1 and . We establish the space-time singularity and decay estimates, and Liouville-type theorems for radial and nonradial solutions. As applications, we study universal and a priori bound of global solutions as well as the blow-up estimates for the corresponding initial-boundary value problem.
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页码：411 / 442
页数：32
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