Asymptotic expansions of fundamental solutions in parabolic homogenization

Jun Geng; Zhongwei Shen

doi:10.2140/apde.2020.13.147

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.

Citation

Download Citation

Jun Geng. Zhongwei Shen. "Asymptotic expansions of fundamental solutions in parabolic homogenization." Anal. PDE 13 (1) 147 - 170, 2020. https://doi.org/10.2140/apde.2020.13.147

Information

Received: 1 January 2018; Revised: 28 October 2018; Accepted: 29 December 2018; Published: 2020

First available in Project Euclid: 16 January 2020

zbMATH: 07171990

MathSciNet: MR4047643

Digital Object Identifier: 10.2140/apde.2020.13.147

Subjects:

Primary: 35B27 , 35E05 , 35K40

Keywords: fundamental solution , Homogenization‎ , parabolic system

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS