Sharp threshold for blow-up and global existence in a semilinear parabolic equation with variable source

Sharp threshold for blow-up and global existence in a semilinear parabolic equation with variable source

Abstract This paper deals with a semilinear parabolic equation with variable source under the case that the initial energy is less than the potential well depth. We deduce a sharp threshold for blow-up and global existence of solutions. Furthermore, we conclude that the global solution decays as the...

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Bibliographic Details
Main Authors: Jinge Yang, Haixiong Yu
Format: Article
Language:English
Published: SpringerOpen 2017-05-01
Series:Boundary Value Problems
Subjects:
semilinear parabolic equations
variable source
initial energy
global existence
blow-up
Online Access:http://link.springer.com/article/10.1186/s13661-017-0812-y

Internet

http://link.springer.com/article/10.1186/s13661-017-0812-y

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