Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958656 | Computers & Mathematics with Applications | 2017 | 16 Pages |
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
Le Cong Nhan, Le Xuan Truong,