A weighted Lp-theory for divergence type parabolic PDEs with BMO coefficients on C1-domains

Ildoo Kim; Kyeong Hun Kim; Kijung Lee

doi:10.1016/j.jmaa.2013.10.079

A weighted L_p-theory for divergence type parabolic PDEs with BMO coefficients on C¹-domains

Ildoo Kim, Kyeong Hun Kim, Kijung Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

In this paper we present a weighted L_p-theory of parabolic equations of divergence type defined on C¹-domains. The leading coefficients have VMO (vanishing mean oscillation) or small BMO (bounded mean oscillation), and lower order coefficients are allowed to be unbounded and to blow up near the boundary.

Original language	English
Pages (from-to)	589-612
Number of pages	24
Journal	Journal of Mathematical Analysis and Applications
Volume	412
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2013.10.079
Publication status	Published - 2014 Apr 15

Keywords

BMO coefficients
L-theory
Parabolic equations of divergence type
VMO coefficients
Weighted Sobolev spaces

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.jmaa.2013.10.079

Cite this

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abstract = "In this paper we present a weighted Lp-theory of parabolic equations of divergence type defined on C1-domains. The leading coefficients have VMO (vanishing mean oscillation) or small BMO (bounded mean oscillation), and lower order coefficients are allowed to be unbounded and to blow up near the boundary.",

keywords = "BMO coefficients, L-theory, Parabolic equations of divergence type, VMO coefficients, Weighted Sobolev spaces",

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KW - VMO coefficients

KW - Weighted Sobolev spaces

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