Orlicz空间中非齐次分式方程的弱解和粘性解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-12-06 DOI:10.57262/ade027-1112-735

Maria L. de Borb'on, Leandro Martin Del Pezzo, Pablo Ochoa

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引用次数: 4

摘要

在本文中，我们考虑了Orlicz空间中的非齐次分式方程，其源取决于空间变量、未知函数及其分数梯度。后者适用于Orlicz框架。本文的主要贡献是建立了这类方程的弱解和粘性解之间的等价性。

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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Weak and viscosity solutions for non-homogeneous fractional equations in Orlicz spaces

In this paper, we consider non-homogeneous fractional equations in Orlicz spaces, with a source depending on the spatial variable, the unknown function and its fractional gradient. The latter is adapted to the Orlicz framework. The main contribution of the article is to establish the equivalence between weak and viscosity solutions for such equations.

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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.