Article ID Journal Published Year Pages File Type
4626695 Applied Mathematics and Computation 2015 12 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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