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Abstract
In this paper, we study the blow-up solutions for the following nonlinear reaction diffusion equations with time-dependent coefficients under Neumann boundary condition
where is a bounded convex domain of
with smooth boundary
. By means of a first-order differential inequality technique, a lower bound on blow-up time is derived when blow-up occurs. Moreover, the conditions which imply that blow-up occurs are determined.
Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
This work was supported by the National Natural Science Foundation of China [grant number 61473180], [grant number 61174082].