Weighted L p , q -estimates for higher order elliptic and parabolic systems with BMO x coefficients on Reifenberg flat domains

Jongkeun Choi, Doyoon Kim

Research output: Contribution to journalArticle

Abstract

We prove weighted L p , q -estimates for divergence type higher order elliptic and parabolic systems with irregular coefficients on Reifenberg flat domains. In particular, in the parabolic case the coefficients do not have any regularity assumptions in the time variable. As functions of the spatial variables, the leading coefficients are permitted to have small mean oscillations. The weights are in the class of Muckenhoupt weights A p . We also prove the solvability of the systems in weighted Sobolev spaces.

Original languageEnglish
Article number90
JournalCalculus of Variations and Partial Differential Equations
Volume58
Issue number3
DOIs
Publication statusPublished - 2019 Jun 1

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Sobolev spaces
Parabolic Systems
Elliptic Systems
Higher Order
Coefficient
Muckenhoupt Weights
Estimate
Weighted Sobolev Spaces
Solvability
Irregular
Divergence
Regularity
Oscillation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

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