Affiliation:
1. School of Mathematics and Statistics Changchun University of Science and Technology Changchun China
Abstract
We study a class of damped
‐
type wave equation with homogeneous Dirichlet boundary condition. First of all, we prove the local existence of weak solutions by Galerkin method. Besides, when the energy level is low
, we prove the global existence, decay, and finite time blow‐up of weak solutions through the method of potential well and the technique of differential inequalities. Finally, these results are extended in parallel to the critical case
.
Funder
National Natural Science Foundation of China
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