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December  2018, 23(10): 4243-4254. doi: 10.3934/dcdsb.2018135

## Upper and lower bounds for the blow-up time in quasilinear reaction diffusion problems

 School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China

* Corresponding author: Juntang Ding

Received  September 2017 Published  April 2018

Fund Project: This work was supported by the National Natural Science Foundation of China (No. 61473180).

In this paper, we consider a quasilinear reaction diffusion equation with Neumann boundary conditions in a bounded domain. Basing on Sobolev inequality and differential inequality technique, we obtain upper and lower bounds for the blow-up time of the solution. An example is also given to illustrate the abstract results obtained of this paper.

Citation: Juntang Ding, Xuhui Shen. Upper and lower bounds for the blow-up time in quasilinear reaction diffusion problems. Discrete & Continuous Dynamical Systems - B, 2018, 23 (10) : 4243-4254. doi: 10.3934/dcdsb.2018135
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