An approach for weighted mixed-norm estimates for parabolic equations with local and non-local time derivatives

Hongjie Dong, Doyoon Kim

Research output: Contribution to journalArticlepeer-review

Abstract

We give a unified approach to weighted mixed-norm estimates and solvability for both the usual and time fractional parabolic equations in nondivergence form when coefficients are merely measurable in the time variable. In the spatial variables, the leading coefficients locally have small mean oscillations. Our results extend the previous result in [5] for unmixed Lp-estimates without weights.

Original languageEnglish
Article number107494
JournalAdvances in Mathematics
Volume377
DOIs
Publication statusPublished - 2021 Jan 22

Keywords

  • Mean oscillation estimates
  • Measurable coefficients
  • Parabolic equation
  • Time fractional derivative

ASJC Scopus subject areas

  • Mathematics(all)

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