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

Boundary value problems

Changjun Li¹  Zhong Bo Fang¹  Liru Qiu¹ 

[1] School of Mathematical Sciences, Ocean University of China, Qingdao, P.R. China

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

DOI  :  10.1186/s13661-014-0197-0

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY