Article ID Journal Published Year Pages File Type
4958656 Computers & Mathematics with Applications 2017 16 Pages PDF
Abstract
The main goal of this work is to study an initial-boundary value problem for a nonlinear pseudoparabolic equation with logarithmic nonlinearity. 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 provide sufficient conditions for the large time decay of global weak solutions and the finite time blow-up of weak solutions.
Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
Authors
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