Time dependent Lyapunov functions for some Kolmogorov semigroups perturbed by unbounded potentials

被引：4

作者：

Aibeche, Aissa ^{[1
]}

Laidoune, Karima ^{[1
]}

Rhandi, Abdelaziz ^{[2
]}

机构：

[1] Univ Ferhat Abbes Setif, Fac Sci, Dept Math, Setif 19000, Algeria

[2] Univ Salerno, Dipartimento Ingn Informaz & Matemat Applicata, I-84084 Fisciano, Sa, Italy

来源：

ARCHIV DER MATHEMATIK | 2010年 / 94卷 / 06期

关键词：

Kolmogorov semigroups; Kernel estimates; Lyapunov functions; Schrodinger operators; SCHRODINGER-OPERATORS; KERNEL;

D O I：

10.1007/s00013-010-0124-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study global regularity properties of transition kernels associated to second order differential operators in RN with unbounded drift and potential terms. Under suitable conditions, we prove pointwise upper bounds. We use time dependent Lyapunov function techniques allowing us to gain a better time behaviour of such kernels.

引用

页码：565 / 577

页数：13

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