Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626695 | Applied Mathematics and Computation | 2015 | 12 Pages |
Abstract
The initial boundary value problem for a Kirchhoff type plate equation in a bounded domain is considered. We show the blow-up of solutions and the lifespan estimates for three different ranges of initial energy. Global existence of solutions is proved by the potential well theory, and decay estimates of the energy function are established by using Nakao’s inequality.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jun Zhou,