Existence and asymptotic behavior of solutions of the Dirichlet problem for a nonlinear pseudoparabolic equation
This article concerns the initial-boundary value problem for nonlinear pseudo-parabolic equation $$\displaylines{ u_{t}-u_{xxt}-(1+\mu (u_{x}))u_{xx}+(1+\sigma (u_{x}))u=f(x,t),\quad 0<x<1,\; 0<t<T, \cr u(0,t)=u(1,t)=0, \cr u(x,0)=\tilde{u}_0(x), }$$ where f, $\tilde{u}_0$, $\mu...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-01-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/04/abstr.html |