Acta mathematica scientia, Series B >
EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS FOR A SEMI-LINEAR HEAT EQUATION WITH FRACTIONAL LAPLACIAN
Received date: 2011-06-26
Revised date: 2011-12-05
Online published: 2012-11-20
Supported by
This research was supported by National Natural Science Foundation of China (10976026).
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.
Key words： fractional Laplacian equation; global existence; nonexistence
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 . DOI: 10.1016/S0252-9602(12)60170-2
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