Decay results for viscoelastic diffusion equations in absence of instantaneous elasticity
We study the diffusion equation in the absence of instantaneous elasticity $$ u_t-int_0^{t}g(t-au )Delta u(au ),dau =0,quad (x,t)in Omega imes (0,+infty ), $$ where $Omega subset mathbb{R}^n$, subjected to nonlinear boundary conditions. We prove that if the relaxation function g decays expone...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2012-05-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/73/abstr.html |