ABSTRACT
This paper focuses on the following degenerate parabolic equation
where Ω is a smooth bounded domain in
,
is positive almost everywhere and satisfies proper degenerate conditions. The existence and uniqueness result is proved in the framework of entropy solutions. For the long-time behavior, we prove the existence of a global attractor in
by using some delicate estimates on the solution, which are derived by taking advantage of both the leading operator and the zero-order nonlinear term. The aforementioned results improve some previous results in the literature in several aspects.
2010 Mathematics Subject Classifications:
Disclosure statement
No potential conflict of interest was reported by the author(s).