Potential Analysis

, Volume 26, Issue 4, pp 345–361

Parabolic Equations with Measurable Coefficients

Article

DOI: 10.1007/s11118-007-9042-8

Cite this article as:
Kim, D. & Krylov, N.V. Potential Anal (2007) 26: 345. doi:10.1007/s11118-007-9042-8

Abstract

We investigate the unique solvability of second order parabolic equations in non-divergence form in \(W_p^{1,2}((0,T) \times \mathbb{R}^d)\), 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.

Key words

second-order equationsvanishing mean oscillation

Mathematics Subject Classifications (2000)

35K1035K20

Copyright information

© Springer Science + Business Media B.V. 2007

Authors and Affiliations

  1. 1.University of MinnesotaMinneapolisUSA