EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS FOR A SEMI-LINEAR HEAT EQUATION WITH FRACTIONAL LAPLACIAN

被引：0

作者：

Tan Zhong ^{[1
]}

Xu Yongqiang ^{[1
,2
]}

机构：

[1] Xiamen Univ Fujian, Sch Math Sci, Xiamen 361005, Peoples R China

[2] Zhangzhou Normal Univ, Dept Math & Informat Sci, Zhangzhou 363000, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 06期

基金：

中国国家自然科学基金;

关键词：

fractional Laplacian equation; global existence; nonexistence; BOUNDARY-VALUE PROBLEM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we are concerned with the existence and non-existence of global solutions of a semi-linear heat equation with fractional Laplacian. We obtain some extension of results of Weissler who considered the case alpha = 1, and h equivalent to 1.

引用

页码：2203 / 2210

页数：8

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