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

Authors：Deng, Xiumei; Zhou, Jun^*

Source：JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2022, 28(4): 757-769.

DOI：10.1007/s10883-021-09548-z

• p-Laplace equation
• Global existence
• Extinction
• Non-extinction

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.

• Institution
  西南大学