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

^*この研究の対応する著者

研究成果: Article › 査読

21 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	332-359
ページ数	28
ジャーナル	Journal of Evolution Equations
巻	3
号	2
出版ステータス	Published - 2003
外部発表	はい

ASJC Scopus subject areas

生態、進化、行動および分類学

他のファイルとリンク

引用スタイル

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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

PY - 2003

Y1 - 2003

N2 - 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.

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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UR - http://www.scopus.com/inward/citedby.url?scp=0141425602&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0141425602

VL - 3

SP - 332

EP - 359

JO - Journal of Evolution Equations

JF - Journal of Evolution Equations

SN - 1424-3199

IS - 2

ER -

Maximal Lp-regularity for elliptic operators with VMO-coefficients

抄録

ASJC Scopus subject areas

他のファイルとリンク

フィンガープリント

引用スタイル

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