Lp-estimates for time fractional parabolic equations in divergence form with measurable coefficients

Hongjie Dong, Doyoon Kim

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Abstract

In this paper, we establish Lp-estimates and solvability for time fractional divergence form parabolic equations in the whole space when leading coefficients are merely measurable in one spatial variable and locally have small mean oscillations with respect to the other variables. The corresponding results for equations on a half space are also derived.

Original languageEnglish
Article number108338
JournalJournal of Functional Analysis
Volume278
Issue number3
DOIs
Publication statusPublished - 2020 Feb 1

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Keywords

  • Measurable coefficients
  • Parabolic equations
  • Small mean oscillations
  • Time fractional derivative

ASJC Scopus subject areas

  • Analysis

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