Heat trace of non-local operators

被引：17

作者：

Banuelos, Rodrigo ^{[1
]}

Yolcu, Selma Yildirim ^{[1
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2013年 / 87卷

关键词：

STABLE PROCESSES; CAUCHY PROCESS; GREEN-FUNCTION; JUMP-PROCESSES; KERNEL;

D O I：

10.1112/jlms/jds047

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper extends results of M. van den Berg on two-term asymptotics for the trace of Schrodinger operators when the Laplacian is replaced by non-local (integral) operators corresponding to rotationally symmetric stable processes and other closely related Levy processes.

引用

收藏

页码：304 / 318

页数：15

相关论文

共 31 条

[1]

Arendt W, 2009, MATH ANAL EVOLUTION

[2] Eigenvalue gaps for the Cauchy process and a Poincare inequality [J].

Bañuelos, R ;

Kulczycki, T .

JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 234 (01) :199-225

[3] The Cauchy process and the Steklov problem [J].

Bañuelos, R ;

Kulczycki, T .

JOURNAL OF FUNCTIONAL ANALYSIS, 2004, 211 (02) :355-423

[4] ON THE HEAT TRACE OF SCHRODINGER-OPERATORS [J].

BANUELOS, R ;

BARRETO, AS .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1995, 20 (11-12) :2153-2164

[5] Trace estimates for stable processes [J].

Banuelos, Rodrigo ;

Kulczycki, Tadeusz .

PROBABILITY THEORY AND RELATED FIELDS, 2008, 142 (3-4) :313-338

[6] On the trace of symmetric stable processes on Lipschitz domains [J].

Banuelos, Rodrigo ;

Kulczycki, Tadeusz ;

Siudeja, Bartlomiej .

JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 257 (10) :3329-3352

[7] THE TRACE OF THE HEAT KERNEL IN LIPSCHITZ-DOMAINS [J].

BROWN, RM .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 339 (02) :889-900

[8] RELATIVISTIC SCHRODINGER-OPERATORS - ASYMPTOTIC-BEHAVIOR OF THE EIGENFUNCTIONS [J].

CARMONA, R ;

MASTERS, WC ;

SIMON, B .

JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 91 (01) :117-142

[9] An extension of Vervaat's transformation and its consequences [J].

Chaumont, L .

JOURNAL OF THEORETICAL PROBABILITY, 2000, 13 (01) :259-277

[10] Heat kernel estimates for jump processes of mixed types on metric measure spaces [J].

Chen, Zhen-Qing ;

Kumagai, Takashi .

PROBABILITY THEORY AND RELATED FIELDS, 2008, 140 (1-2) :277-317

← 1 2 3 4 →