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Extinction and Non-extinction of Solutions to a Fast Diffusion p-Laplace Equation with Logarithmic Non-linearity

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Abstract

This paper deals with a class of fast diffusion p-Laplace equation with logarithmic non-linearity in a bounded smooth domain with homogeneous Dirichlet boundary condition. By using energy estimates and some ordinary differential inequalities, we study the conditions on extinction and non-extinction of global solutions. The results of this paper extend and complete the previous studies on this equation.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, 404100, People’s Republic of China

    **umei Deng

  2. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, People’s Republic of China

    Jun Zhou

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  1. **umei Deng
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  2. Jun Zhou
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Correspondence to Jun Zhou.

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Deng, X., Zhou, J. Extinction and Non-extinction of Solutions to a Fast Diffusion p-Laplace Equation with Logarithmic Non-linearity. J Dyn Control Syst 28, 757–769 (2022). https://doi.org/10.1007/s10883-021-09548-z

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  • DOI: https://doi.org/10.1007/s10883-021-09548-z

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