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

doi:10.1016/S0252-9602(12)60170-2

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (6): 2203-2210.doi: 10.1016/S0252-9602(12)60170-2

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

谭忠¹|许勇强^1,2*

1. School of Mathematical Sciences, Xiamen University Fujian, Xiamen 361005, China；
2. Department of Mathematics and Information Sciences, Zhangzhou Normal University, Zhangzhou 363000, China

收稿日期:2011-06-26 修回日期:2011-12-05 出版日期:2012-11-20 发布日期:2012-11-20
通讯作者: 许勇强，yqx458@126.com E-mail:ztan85@163.com; yqx458@126.com
基金资助:
This research was supported by National Natural Science Foundation of China (10976026).

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

TAN Zhong¹, XU Yong-Qiang^1,2*

1. School of Mathematical Sciences, Xiamen University Fujian, Xiamen 361005, China；
2. Department of Mathematics and Information Sciences, Zhangzhou Normal University, Zhangzhou 363000, China

Received:2011-06-26 Revised:2011-12-05 Online:2012-11-20 Published:2012-11-20
Contact: XU Yong-Qiang，yqx458@126.com E-mail:ztan85@163.com; yqx458@126.com
Supported by:
This research was supported by National Natural Science Foundation of China (10976026).

摘要/Abstract

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 exten-sion of results of Weissler who considered the case α = 1, and h ≡ 1.

关键词: fractional Laplacian equation, global existence, nonexistence

Abstract:

Key words: fractional Laplacian equation, global existence, nonexistence

中图分类号:

35K05

谭忠, 许勇强. EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS FOR A SEMI-LINEAR HEAT EQUATION WITH FRACTIONAL LAPLACIAN[J]. 数学物理学报(英文版), 2012, 32(6): 2203-2210.

TAN Zhong, XU Yong-Qiang. EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS FOR A SEMI-LINEAR HEAT EQUATION WITH FRACTIONAL LAPLACIAN[J]. Acta mathematica scientia,Series B, 2012, 32(6): 2203-2210.

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

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

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