Asymptotic expansions of fundamental solutions in parabolic homogenization

Jun Geng, Zhongwei Shen

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

For a family of second-order parabolic systems with rapidly oscillating and time-dependent periodic coefficients, we investigate the asymptotic behavior of fundamental solutions and establish sharp estimates for the remainders.

Original languageEnglish
Pages (from-to)147-170
Number of pages24
JournalAnalysis and PDE
Volume13
Issue number1
DOIs
StatePublished - 2020

Bibliographical note

Publisher Copyright:
© 2020, Mathematical Sciences Publishers.

Keywords

  • Fundamental solution
  • Homogenization
  • Parabolic system

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Applied Mathematics

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