Blow-up theorems of Fujita type for a semilinear parabolic equation with a gradient term

Abstract This paper deals with the existence and non-existence of the global solutions to the Cauchy problem of a semilinear parabolic equation with a gradient term. The blow-up theorems of Fujita type are established and the critical Fujita exponent is determined by the behavior of the three variab...

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Bibliographic Details
Main Authors: Yang Na, Mingjun Zhou, Xu Zhou, Guanming Gai
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-018-1582-2