Regularity results for stable-like operators

被引：56

作者：

Bass, Richard F. ^{[1
]}

机构：

[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2009年 / 257卷 / 08期

基金：

美国国家科学基金会;

关键词：

Semigroups; Holder; Stable-like; Non-local; SYMMETRIC JUMP-PROCESSES; HARNACK INEQUALITIES; HARMONIC-FUNCTIONS; MARKOV-PROCESSES; VARIABLE ORDER; KERNEL;

D O I：

10.1016/j.jfa.2009.05.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For alpha is an element of [1, 2) we consider operators of the form Lf (x) = (Rd)integral[f (x + h) - f (x)- 1((|h|<= 1))del f (x) . h]A(x, h)/|h|(d+a) dh and for alpha is an element of (0, 1) we consider the same operator but where the del f term is omitted. We prove, under appropriate conditions on A(x, h), that any solution u to Lu = f will be in C(alpha+beta) if f is an element of C(beta). (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：2693 / 2722

页数：30

共 26 条

[1]

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[2]

Barlow MT, 2009, T AM MATH SOC, V361, P1963

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