학술논문
Global Solution and Blow-up for a Class of p-Laplacian Evolution Equations with Logarithmic Nonlinearity.
Document Type
Article
Source
Subject
*EVOLUTION equations
*LAPLACIAN matrices
*SET theory
*LOGARITHMIC functions
*NONLINEAR theories
*SOBOLEV spaces
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Language
ISSN
0167-8019
Abstract
The main goal of this work is to study an initial boundary value problem for a quasilinear parabolic equation with logarithmic source term. By using the potential well method and a logarithmic Sobolev inequality, we obtain results of existence or nonexistence of global weak solutions. In addition, we also provided sufficient conditions for the large time decay of global weak solutions and for the finite time blow-up of weak solutions. [ABSTRACT FROM AUTHOR]