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

被引:61
作者
Liskevich, V
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-01062 Dresden, Germany
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.2001.3909
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study positive C-0-semigroups on L. associated with second-order uniformly elliptic divergence-type operators with singular lower-order terms, subject to a wide class of boundary conditions. We obtain an interval (p(min), p(max)) in the L-p-scale where these semigroups can be defined, including the case 2 is not an element of (p(min), p(max)). We present an example showing that the result is optimal. We also show that the semigroups are analytic with angles of analyticity and spectra of the generators independent of p, for the whole range of p where the semigroups are defined. (C) 2002 Elsevier Science (USA).
引用
收藏
页码:55 / 76
页数:22
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