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

共 50 条

[21] The LP resolvents of second-order elliptic operators of divergence form under the Dirichlet condition
Miyazaki, Y
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 206 (02) : 353 - 372
[22] Theory of potential for second-order nonlinear elliptic operators with discontinuous coefficients
Baalal, A
[J]. POTENTIAL ANALYSIS, 2001, 15 (03) : 255 - 271
[23] L p theory of second-order elliptic operators with discontinuous coefficients
Dudkina, A. A.
[J]. DOKLADY MATHEMATICS, 2010, 81 (01) : 47 - 50
[24] L p -theory for second-order elliptic operators with unbounded coefficients
Sobajima, Motohiro
[J]. JOURNAL OF EVOLUTION EQUATIONS, 2012, 12 (04) : 957 - 971
[25] DEGENERATE ELLIPTIC-PARABOLIC OPERATORS OF SECOND-ORDER AND THEIR ASSOCIATED DIFFUSIONS
STROOCK, D
VARADHAN, SR
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1972, 25 (06) : 651 - 713
[26] On a factorization of second-order elliptic operators and applications
Kravchenko, Vladislav V.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (40): : 12407 - 12425
[27] Quantitative uniqueness for second-order elliptic operators
Kukavica, I
[J]. DUKE MATHEMATICAL JOURNAL, 1998, 91 (02) : 225 - 240
[28] Some results on second-order elliptic operators with polynomially growing coefficients in Lp-spaces
Boutiah, Sallah Eddine
Caso, Loredana
Gregorio, Federica
Tacelli, Cristian
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 501 (02)
[29] Lp-theory for some elliptic and parabolic problems with first order degeneracy at the boundary
Fornaro, Simona
Metafune, Giorgio
Pallara, Diego
Pruess, Jan
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2007, 87 (04): : 367 - 393
[30] Lp bounds for Riesz transforms and square roots associated to second order elliptic operators
Hofmann, S
Martell, JM
[J]. PUBLICACIONS MATEMATIQUES, 2003, 47 (02) : 497 - 515

← 1 2 3 4 5 →