STABILITY OF THE FELLER PROPERTY FOR NON-LOCAL OPERATORS UNDER BOUNDED PERTURBATIONS

被引：2

作者：

Shiozawa, Yuichi ^{[1
]}

Uemura, Toshihiro ^{[2
]}

机构：

[1] Ritsumeikan Univ, Coll Sci & Engn, Kusatsu Shiga 5258577, Japan

[2] Univ Hyogo, Sch Business Adm, Kobe, Hyogo 6512197, Japan

来源：

GLASNIK MATEMATICKI | 2010年 / 45卷 / 01期

关键词：

Integro-differential operator; Feller semigroup; symmetric Dirichlet form of jump-type; stable-like process; STABLE-LIKE PROCESSES; MARKOV-PROCESSES; PATH PROPERTIES; VARIABLE ORDER;

D O I：

10.3336/gm.45.1.12

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is known that the Feller property of a semigroup is stable under a bounded perturbation of the infinitesimal generator. Applying this, we derive the Feller property for a class of integro-differential operators including symmetric stable-like processes.

引用

页码：155 / 172

页数：18

共 50 条

[31] On the Fuik spectrum of non-local elliptic operators
Goyal, Sarika
Sreenadh, K.
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2014, 21 (04): : 567 - 588
[32] Spectral analysis of non-local Schrodinger operators
Kondratiev, Yu.
Molchanov, S.
Vainberg, B.
JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 273 (03) : 1020 - 1048
[33] On a class of non-local operators in conformal geometry
Sun Yung Alice Chang
Ray A. Yang
Chinese Annals of Mathematics, Series B, 2017, 38 : 215 - 234
[34] Generalized Kato type operators and property (ω) under perturbations
Cao, Xiaohong
Liu, Aifang
LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (07) : 2231 - 2239
[35] Relatively Bounded Perturbations of J-Non-Negative Operators
Philipp, Friedrich
COMPLEX ANALYSIS AND OPERATOR THEORY, 2023, 17 (01)
[36] Relatively Bounded Perturbations of J-Non-Negative Operators
Friedrich Philipp
Complex Analysis and Operator Theory, 2023, 17
[37] Stability of ground state eigenvalues of non-local Schrodinger operators with respect to potentials and applications
Ascione, Giacomo
Lorinczi, Jozsef
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 527 (02)
[38] On correlation functions of Wilson loops, local and non-local operators
Engelund, Oluf Tang
Roiban, Radu
JOURNAL OF HIGH ENERGY PHYSICS, 2012, (05):
[39] Stability of autoresonance models under perturbations that are bounded in the mean
Sultanov, O. A.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2013, 19 (03): : 274 - 283
[40] LOCAL INVERSE ESTIMATES FOR NON-LOCAL BOUNDARY INTEGRAL OPERATORS
Aurada, M.
Feischl, M.
Fuhrer, T.
Karkulik, M.
Melenk, J. M.
Praetorius, D.
MATHEMATICS OF COMPUTATION, 2017, 86 (308) : 2651 - 2686

← 1 2 3 4 5 →