HEAT KERNEL ESTIMATES FOR SOME ELLIPTIC OPERATORS WITH UNBOUNDED DIFFUSION COEFFICIENT

被引：17

作者：

Metafune, Giorgio ^{[1
]}

Spina, Chiara ^{[1
]}

机构：

[1] Univ Salento, Dipartimento Matemat Ennio De Giorgi, I-73100 Lecce, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2012年 / 32卷 / 06期

关键词：

Elliptic operators; Nash inequality; kernel estimates; INEQUALITIES;

D O I：

10.3934/dcds.2012.32.2285

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove heat kernel bounds for the operator (1 + vertical bar x vertical bar(alpha))Delta in R-N, through Nash inequalities and weighted Hardy inequalities.

引用

页码：2285 / 2299

页数：15

共 15 条

[1]

[Anonymous], 2000, GRAD TEXT M

[2]

[Anonymous], 1980, LOND MATH SOC MONOGR

[3]

[Anonymous], 1989, CAMBRIDGE TRACTS MAT

[4]

Bakry D., ARXIV10043456

[5]

Bazan A., ARXIV10072005V1

[6]

Bazan A., CAFFARELLIKOHNNIREMB

[7]

Fornaro S, 2007, DISCRETE CONT DYN-A, V18, P747

[8] Kernel estimates for a class of Schrodinger semigroups [J].

Metafune, G. ;

Spina, C. .

JOURNAL OF EVOLUTION EQUATIONS, 2007, 7 (04) :719-742

[9] Feller semigroups on RN [J].

Metafune, G ;

Pallara, D ;

Wacker, M .

SEMIGROUP FORUM, 2002, 65 (02) :159-205

[10]

Metafune G., ANN SC NO S IN PRESS

← 1 2 →