On the Lp-theory of CO-semigroups associated with second-order elliptic operators, I

被引：25

作者：

Sobol, Z

Vogt, H

机构：

[1] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England

[2] Tech Univ Dresden, Inst Anal, Fachrichtung Math, D-8027 Dresden, Germany

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2002年 / 193卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1006/jfan.2001.3908

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study L-p-theory of second-order elliptic divergence-type operators with measurable coefficients To this end. we introduce a new method of constructing. positive C-0-semigroups on L-p associated with sesquilinear (not necessarily sectorial) forms in L, A precise condition ensuring that the elliptic operator is associated with a quasi-contractive C-0-semigroup on L-p is established (C) 2002 Elsevier Science (USA).

引用

页码：24 / 54

页数：31

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