Boundary Value Problems for Parabolic Operators in a Time-Varying Domain

Sungwon Cho, Hongjie Dong, Doyoon Kim

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We prove the existence of unique solutions to Dirichlet boundary value problems for linear second-order uniformly parabolic operators in either divergence or non-divergence form with boundary blowup low-order coefficients. The domain is possibly time varying, non-smooth, and satisfies an exterior measure condition.

Original languageEnglish
Pages (from-to)1282-1313
Number of pages32
JournalCommunications in Partial Differential Equations
Volume40
Issue number7
DOIs
Publication statusPublished - 2015 Jul 3
Externally publishedYes

Fingerprint

Boundary Blow-up
Parabolic Operator
Dirichlet Boundary Value Problem
Linear Order
Unique Solution
Boundary value problems
Mathematical operators
Divergence
Time-varying
Boundary Value Problem
Coefficient
Form

Keywords

  • Blowup low-order coefficients
  • Exterior measure condition
  • Parabolic Dirichlet boundary value problems
  • Time-varying domain
  • Vanishing mean oscillation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Boundary Value Problems for Parabolic Operators in a Time-Varying Domain. / Cho, Sungwon; Dong, Hongjie; Kim, Doyoon.

In: Communications in Partial Differential Equations, Vol. 40, No. 7, 03.07.2015, p. 1282-1313.

Research output: Contribution to journalArticle

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