Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 22-31 |
| Number of pages | 10 |
| Journal | Discrete and Continuous Dynamical Systems |
| Issue number | SUPPL. |
| Publication status | Published - 2011 Sept |
Keywords
- P(x)-Laplacian
- Parabolic equation
- Subdifferential
- Variable exponent Lebesgue and Sobolev spaces