Asymptotic Behavior of Solutions to Reaction-Diffusion Equations with Dynamic Boundary Conditions and Irregular Data

الملخص EN

This paper is concerned with the asymptotic behavior of solutions to reaction-diffusion equations with dynamic boundary conditions as well as L1-initial data and forcing terms.

We first prove the existence and uniqueness of an entropy solution by smoothing approximations.

Then we consider the large-time behavior of the solution.

The existence of a global attractor for the solution semigroup is obtained in L1(Ω¯,dν).

This extends the corresponding results in the literatures.