Maximal Lp-regularity for elliptic operators with VMO-coefficients

Horst Heck; Matthias Georg Hieber

Maximal L^p-regularity for elliptic operators with VMO-coefficients

Horst Heck^*, Matthias Georg Hieber

^*Corresponding author for this work

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

21 Citations (Scopus)

Abstract

In this paper we show that the parabolic problem u_t + Au = f on ℝⁿ associated with elliptic operators A having coefficients in VMO ∩ L^∞ has the property of maximal L ^p-regularity.

Original language	English
Pages (from-to)	332-359
Number of pages	28
Journal	Journal of Evolution Equations
Volume	3
Issue number	2
Publication status	Published - 2003
Externally published	Yes

Keywords

Elliptic operators
Maximal regularity
VMO-coefficients

ASJC Scopus subject areas

Ecology, Evolution, Behavior and Systematics

Cite this

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title = "Maximal Lp-regularity for elliptic operators with VMO-coefficients",

abstract = "In this paper we show that the parabolic problem ut + Au = f on ℝn associated with elliptic operators A having coefficients in VMO ∩ L∞ has the property of maximal L p-regularity.",

keywords = "Elliptic operators, Maximal regularity, VMO-coefficients",

author = "Horst Heck and Hieber, {Matthias Georg}",

year = "2003",

language = "English",

volume = "3",

pages = "332--359",

journal = "Journal of Evolution Equations",

issn = "1424-3199",

publisher = "Birkhauser Verlag Basel",

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T1 - Maximal Lp-regularity for elliptic operators with VMO-coefficients

AU - Heck, Horst

AU - Hieber, Matthias Georg

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AB - In this paper we show that the parabolic problem ut + Au = f on ℝn associated with elliptic operators A having coefficients in VMO ∩ L∞ has the property of maximal L p-regularity.

KW - Elliptic operators

KW - Maximal regularity

KW - VMO-coefficients

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M3 - Article

AN - SCOPUS:0141425602

SN - 1424-3199

VL - 3

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EP - 359

JO - Journal of Evolution Equations

JF - Journal of Evolution Equations

IS - 2

ER -

Maximal L^p-regularity for elliptic operators with VMO-coefficients

Abstract

Keywords

ASJC Scopus subject areas

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Cite this