一类具有对数非线性的双非线性抛物型方程的全局存在性和消光性

Q3 Multidisciplinary

Wuhan University Journal of Natural Sciences Pub Date : 2023-04-01 DOI:10.1051/wujns/2023282099

Dengming Liu, Ao Chen

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引用次数: 0

摘要

本文主要研究一类具有对数非线性的双非线性抛物型方程解的全局存在性和消光性。利用能量估计方法和一系列常微分不等式，得到了解的全局存在性。此外，我们给出了灭绝行为发生（或不存在）的充分条件。

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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Global Existence and Extinction Behaviour for a Doubly Nonlinear Parabolic Equation with Logarithmic Nonlinearity

This paper is mainly focused on the global existence and extinction behaviour of the solutions to a doubly nonlinear parabolic equation with logarithmic nonlinearity. By making use of energy estimates method and a series of ordinary differential inequalities, the global existence of the solution is obtained. Moreover, we give the sufficient conditions on the occurrence (or absence) of the extinction behaviour.

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来源期刊

Wuhan University Journal of Natural Sciences Multidisciplinary-Multidisciplinary

CiteScore

0.40

自引率

0.00%

发文量

2485

期刊介绍： Wuhan University Journal of Natural Sciences aims to promote rapid communication and exchange between the World and Wuhan University, as well as other Chinese universities and academic institutions. It mainly reflects the latest advances being made in many disciplines of scientific research in Chinese universities and academic institutions. The journal also publishes papers presented at conferences in China and abroad. The multi-disciplinary nature of Wuhan University Journal of Natural Sciences is apparent in the wide range of articles from leading Chinese scholars. This journal also aims to introduce Chinese academic achievements to the world community, by demonstrating the significance of Chinese scientific investigations.