Global Existence and Some Qualitative Properties of Weak Solutions for a Class of Heat Equations with a Logarithmic Nonlinearity in Whole $${\mathbb {R}}^{N}$$

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-06 DOI:10.1007/s10884-024-10385-4

Tahir Boudjeriou, Claudianor O. Alves

引用次数: 0

Abstract

This paper aims to investigate the global existence and uniqueness of weak solutions for a class of heat equations with logarithmic nonlinearity in ${\mathbb {R}}^{N}$, as well as to examine some of their qualitative properties. Additionally, we analyze the boundedness and higher integrability of these solutions.

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全$${{mathbb {R}}^{N}$ 具有对数非线性的一类热方程弱解的全局存在性和一些定性性质

本文旨在研究一类在 ${\mathbb {R}}^{N}$ 中具有对数非线性的热方程的弱解的全局存在性和唯一性，以及它们的一些定性性质。此外，我们还分析了这些解的有界性和高积分性。

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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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.