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October  2019, 24(10): 5317-5336. doi: 10.3934/dcdsb.2019060

Blowup rate of solutions of a degenerate nonlinear parabolic equation

 Department of Mathematics, National Chung Cheng University, Min-Hsiung, Chia-Yi 621, Taiwan

Received  May 2018 Revised  September 2018 Published  April 2019

We study a nonlinear parabolic equation arising from heat combustion and plane curve evolution problems. Suppose that a solution satisfies a symmetry condition and blows up of type Ⅱ. We give an upper bound and a lower bound for the blowup rate of the solution. The lower bound obtained here is probably optimal.

Citation: Chi-Cheung Poon. Blowup rate of solutions of a degenerate nonlinear parabolic equation. Discrete & Continuous Dynamical Systems - B, 2019, 24 (10) : 5317-5336. doi: 10.3934/dcdsb.2019060
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