Global Solution and Blow-up for a Class of p-Laplacian Evolution Equations with Logarithmic Nonlinearity |
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| Authors: | Cong Nhan Le Xuan Truong Le |
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| Affiliation: | 1.Department of Mathematics,An Giang University,Long Xuyen City,Vietnam;2.Faculty of Mathematics and Computer Science,VNUHCM-University of Science,HCM City,Vietnam;3.Department of Mathematics and Statistics,University of Economics Ho Chi Minh City,HCM City,Vietnam |
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| 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. |
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