Well-posedness and large-time behaviors of solutions for a parabolic equation involving p ( x ) -Laplacian
Goro Akagi, Kei Matsuura · AIMS Press eBooks · 2011
This paper is concerned with the initial-boundary value problemfor a nonlinear parabolic equation involving the so-called $p(x)$-Laplacian. Asubdifferential approach is employed to obtain a well-posedness result as wellas to investigate large-time behaviors of solutions.