Global attractors for a class of degenerate parabolic equations with memory
Weighted equations which contain a degenerated term with the weighted coefficient \(a(x)\) and a memory term in a bounded domain \(\Omega\) with smooth boundary \(\partial\Omega\) are considered in this paper. The authors first investigate the existence and uniqueness of weak solutions to the initial-boundary value problem of the above-mentioned equation under suitable assumptions on the weight function \(a(x)\). Based on the existence and uniqueness of weak solutions, the existence of a global attractor is obtained. The main contribution of this paper is to extend some known results to cases with memory.
scientific article; zbMATH DE number 7622293
scientific article