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

共 50 条

[1] Time dependent Lyapunov functions for some Kolmogorov semigroups perturbed by unbounded potentials
Aissa Aibeche
Karima Laidoune
Abdelaziz Rhandi
Archiv der Mathematik, 2010, 94 : 565 - 577
[2] SCHRODINGER EQUATIONS WITH TIME-DEPENDENT UNBOUNDED SINGULAR POTENTIALS
Yajima, Kenji
REVIEWS IN MATHEMATICAL PHYSICS, 2011, 23 (08) : 823 - 838
[3] The value functions of singularly perturbed time-optimal control problems in the framework of Lyapunov functions method
Subbotina, N. N.
MATHEMATICAL AND COMPUTER MODELLING, 2007, 45 (11-12) : 1284 - 1293
[4] DELAYED POTENTIALS AND REPRESENTATION OF SPACE-TIME FUNCTIONS WITH UNBOUNDED DEFINITION DOMAIN
GERDES, W
MARTENSEN, E
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1975, 58 (01) : 11 - 34
[5] Parameter-dependent Lyapunov functions for time varying polytopic systems
Colaneri, P
Geromel, JC
ACC: Proceedings of the 2005 American Control Conference, Vols 1-7, 2005, : 604 - 608
[6] On Fixed-Time Stability for a Class of Singularly Perturbed Systems using Composite Lyapunov Functions
Tang, Michael
Krstic, Miroslav
Poveda, Jorge I.
2024 AMERICAN CONTROL CONFERENCE, ACC 2024, 2024, : 4783 - 4788
[7] Strichartz estimates for the Schrodinger and heat equations perturbed with singular and time dependent potentials
Pierfelice, V
ASYMPTOTIC ANALYSIS, 2006, 47 (1-2) : 1 - 18
[8] Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties
Daafouz, J
Bernussou, J
SYSTEMS & CONTROL LETTERS, 2001, 43 (05) : 355 - 359
[9] On some Schrodinger and wave equations with time dependent potentials
Naibo, V
Stefanov, A
MATHEMATISCHE ANNALEN, 2006, 334 (02) : 325 - 338
[10] Discrete-Time Systems With Constrained Time Delays and Delay-Dependent Lyapunov Functions
Pepe, Pierdomenico
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (04) : 1724 - 1730

← 1 2 3 4 5 →