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

Yonghong Duan, Chunlei Hu and Xiaojuan Chai

Discrete Dynamics in Nature and Society, 2018, vol. 2018, 1-13

Abstract:

This paper is concerned with the asymptotic behavior of solutions to reaction-diffusion equations with dynamic boundary conditions as well as -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 . This extends the corresponding results in the literatures.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:8186247

DOI: 10.1155/2018/8186247

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