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Lower Bounds for Blow-Up Time in Nonlocal Parabolic Problem under Robin Boundary Conditions

Yuxiang Wang,Zhong Bo Fang,Su-Cheol Yi

Applicable analysis（2018）

Cited 4|Views3
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Abstract
ABSTRACT This paper deals with the blow-up phenomenon for a nonlocal reaction diffusion equation with time-dependent coefficient in a bounded star-shaped domain under Robin boundary condition. Using the auxiliary function method and differential inequality technique, lower bounds for the blow-up time can be obtained if the blow-up occurs in finite time. Some examples are presented to illustrate applications of our results.
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Key words
Nonlocal reaction diffusion equation,time-dependent coefficient,Robin boundary condition,lower bound
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