This paper is concerned with the initial-boundary value problem for a nonlinear parabolic equation involving the so-called p(x)-Laplacian. A subdifferential approach is employed to obtain a well-posedness result as well as to investigate large-time behaviors of solutions.
|Number of pages
|Discrete and Continuous Dynamical Systems
|Published - 2011 Sept
- Parabolic equation
- Variable exponent Lebesgue and Sobolev spaces