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).
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页码：24 / 54
页数：31
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