The Dirichlet boundary problem for second order parabolic operators satisfying Carleson condition

Martin Dindos, Sukjung Hwang

Research output: Contribution to journalArticlepeer-review

Abstract

We establish Lp, 2≤p≤∞ solvability of the Dirichlet boundary value problem for a parabolic equation ut−div(A∇u)=0 on time-varying domains with coefficient matrix A=(aij) that satisfy a small Carleson condition. The result is motivated by similar results for the elliptic equation div(A∇u)=0 that were established previously.
Original languageEnglish
Pages (from-to)767-810
Number of pages30
JournalRevista Matemática Iberoamericana
Volume34
Issue number2
Early online date28 May 2018
DOIs
Publication statusPublished - 2018

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