非局部抛物型Waldenfels算子的极大原理

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2016-07-11 DOI:10.1142/S1664360719500152

Qiao Huang, Jinqiao Duan, Jiang-Lun Wu

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引用次数: 1

摘要

非局部Waldenfels算子作为一类lsamvy型马尔可夫生成器，在研究lsamvy波动下的随机动力学和构造带边界条件的马尔可夫过程(特别是带跳跃的构造)的背景下自然出现。本文致力于证明具有非局部Waldenfels算子的抛物型方程的弱极大值原理和强极大值原理。在随机微分方程中的应用[公式:见文]-稳定的lsamvy过程来说明极大值原理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Maximum principles for nonlocal parabolic Waldenfels operators

As a class of Lévy type Markov generators, nonlocal Waldenfels operators appear naturally in the context of investigating stochastic dynamics under Lévy fluctuations and constructing Markov processes with boundary conditions (in particular the construction with jumps). This work is devoted to prove the weak and strong maximum principles for ‘parabolic’ equations with nonlocal Waldenfels operators. Applications in stochastic differential equations with [Formula: see text]-stable Lévy processes are presented to illustrate the maximum principles.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.