General decay rate estimates for a semilinear parabolic equation with memory term and mixed boundary condition

[摘要] This work is concerned with a mixed boundary value problem for a semilinear parabolic equation with a memory term. Under suitable conditions, we prove that the energy functional decays to zero as the time tends to infinity by the method of perturbation energy, in which the usual exponential and polynomial decay results are only special cases.

[学科分类] 数学（综合）

[关键词] Heat Flux;Memory Term;Homogeneous Dirichlet Boundary Condition;Memory Kernel;Uniform Decay