关于具有空间依赖系数的积分微分算子的 $$L_{p}-$$ 理论

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-03-14 DOI:10.1007/s11118-024-10131-x

Sutawas Janreung, Tatpon Siripraparat, Chukiat Saksurakan

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引用次数: 0

摘要

在广义贝塞尔势空间中考虑了具有空间依赖系数的抛物线积分微分考奇问题，其平稳性由具有 O 型规则变化轮廓的莱维量定义。假设系数在空间变量中是有界和赫尔德连续的。我们的结果可以涵盖有趣的 Lévy 测量类别，这些类别超出了与$dy/\left|y/\right| ^{d+\alpha }.$类似的测量。

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On $$L_{p}-$$ Theory for Integro-Differential Operators with Spatially Dependent Coefficients

The parabolic integro-differential Cauchy problem with spatially dependent coefficients is considered in generalized Bessel potential spaces where smoothness is defined by Lévy measures with O-regularly varying profile. The coefficients are assumed to be bounded and Hölder continuous in the spatial variable. Our results can cover interesting classes of Lévy measures that go beyond those comparable to $dy/\left| y\right| ^{d+\alpha }.$

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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.