Convergence rates in homogenization of higher order parabolic systems

Weisheng Niu; Yao Xu

Convergence rates in homogenization of higher order parabolic systems

Analysis of PDEs 2018-04-19 v1

Authors: Weisheng Niu , Yao Xu

Abstract

This paper is concerned with the optimal convergence rate in homogenization of higher order parabolic systems with bounded measurable, rapidly oscillating periodic coefficients. The sharp $O(\va)$ convergence rate in the space $L^2(0,T; H^{m-1}(\Om))$ is obtained for both the initial-Dirichlet problem and the initial-Neumann problem. The duality argument inspired by \cite{suslinaD2013} is used here.

Keywords

homogenization higher order parabolic systems convergence rate periodic coefficients dirichlet problem neumann problem duality argument

Cite

@article{arxiv.1801.02297,
  title  = {Convergence rates in homogenization of higher order parabolic systems},
  author = {Weisheng Niu and Yao Xu},
  journal= {arXiv preprint arXiv:1801.02297},
  year   = {2018}
}

Comments

28 pages

Related papers

View all related →