Global gradient estimates for parabolic systems from composite materials

Yunsoo Jang, Youchan Kim

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We obtain global gradient estimates for the weak solutions to parabolic systems from composite materials in Orlicz spaces, which is a new result even for Lp-spaces. We assume that the domain is composed of a finite number of disjoint subdomains with Reifenberg flat boundaries, while the coefficients have small BMO semi-norms in each subdomain and allowed to have big jumps on the boundaries of subdomains. Our proof is based on a new geometric result that for disjoint Reifenberg flat domains Ω k and Ω l, the normal vectors at P∈ ∂Ω k and Q∈ ∂Ω l are almost opposite if P and Q are close enough.

Original languageEnglish
Article number63
JournalCalculus of Variations and Partial Differential Equations
Volume57
Issue number2
DOIs
StatePublished - 1 Apr 2018

Keywords

  • Primary 35K40
  • Secondary 35B65

Fingerprint

Dive into the research topics of 'Global gradient estimates for parabolic systems from composite materials'. Together they form a unique fingerprint.

Cite this