有时间延迟的几类退化非线性双曲方程的稳定性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-23 DOI:10.1016/j.nonrwa.2024.104191

Alessandro Camasta , Genni Fragnelli , Cristina Pignotti

引用次数: 0

摘要

我们考虑了几类涉及延迟项和适当非线性的退化双曲方程。我们的想法是以一种抽象的方式重写这些问题，并利用半群理论和能量法研究其好求性和稳定性。此外，我们还给出了一些示例。

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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Stability for some classes of degenerate nonlinear hyperbolic equations with time delay

We consider several classes of degenerate hyperbolic equations involving delay terms and suitable nonlinearities. The idea is to rewrite the problems in an abstract way and, using semigroup theory and energy method, we study well-posedness and stability. Moreover, some illustrative examples are given.

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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.