Existence and decay of solutions to a viscoelastic plate equation
In this article we study the fourth-order viscoelastic plate equation $$ u_{tt} + \Delta^2 u -\int_0^t g(t-\tau)\Delta^2u(\tau)d\tau = 0 $$ in the bounded domain $\Omega=(0,\pi)\times(-\ell,\ell)\subset\mathbb{R}^2$ with non traditional boundary conditions. We establish the well-posedness and...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/22/abstr.html |