Existence, Nonexistence, and Stability of Solutions for a Delayed Plate Equation with the Logarithmic Source
In this work, we study a plate equation with time delay in the velocity, frictional damping, and logarithmic source term. Firstly, we obtain the local and global existence of solutions by the logarithmic Sobolev inequality and the Faedo-Galerkin method. Moreover, we prove the stability and nonexiste...
Main Authors: | , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2021-01-01
|
Series: | Advances in Mathematical Physics |
Online Access: | http://dx.doi.org/10.1155/2021/8561626 |