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 1.4 4区数学 Q1 MATHEMATICS

Journal of Dynamics and Differential Equations 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

Journal of Dynamics and Differential Equations 数学-数学

CiteScore

3.30

自引率

7.70%

发文量

116

审稿时长

>12 weeks

期刊介绍： Journal of Dynamics and Differential Equations serves as an international forum for the publication of high-quality, peer-reviewed original papers in the field of mathematics, biology, engineering, physics, and other areas of science. The dynamical issues treated in the journal cover all the classical topics, including attractors, bifurcation theory, connection theory, dichotomies, stability theory and transversality, as well as topics in new and emerging areas of the field.