一个空间维度上准线性波方程经典解的胀大

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-09-07 DOI:10.1016/j.nonrwa.2024.104212

Yuki Haruyama , Hiroyuki Takamura

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引用次数: 0

摘要

本文研究了带有未知函数的空间或时间导数准线性项的一维波方程初值问题经典解的寿命上限。空间导数情况下的结果保证了非线性波方程一般理论的最优性，其证明是通过结合常微分不等式和解的加权函数下界的迭代法进行的。

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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Blow-up of classical solutions of quasilinear wave equations in one space dimension

This paper studies the upper bound of the lifespan of classical solutions of the initial value problems for one dimensional wave equations with quasilinear terms of space-, or time-derivatives of the unknown function. The result for the space-derivative case guarantees the optimality of the general theory for nonlinear wave equations, and its proof is carried out by combination of ordinary differential inequality and iteration method on the lower bound of the weighted functional of the solution.

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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.

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