Parabolic equations with measurable coefficients

Doyoon Kim, N. V. Krylov

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

We investigate the unique solvability of second order parabolic equations in non-divergence form in Wp1,2((0,T) × ℝd, p ≥ 2. The leading coefficients are only measurable in either one spatial variable or time and one spatial variable. In addition, they are VMO (vanishing mean oscillation) with respect to the remaining variables.

Original languageEnglish
Pages (from-to)345-361
Number of pages17
JournalPotential Analysis
Volume26
Issue number4
DOIs
Publication statusPublished - 2007 Jun

Keywords

  • Second-order equations
  • Vanishing mean oscillation

ASJC Scopus subject areas

  • Analysis

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