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

被引：15

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.

引用

页码：411 / 442

页数：32

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