一类具有非线性记忆和阻尼项的波动方程整体弱解的不存在性

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-02-13 DOI:10.1016/j.aml.2025.109498

Quanguo Zhang

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引用次数: 0

摘要

本文研究了一类具有非线性记忆项和阻尼项的波动方程整体弱解的不存在性。我们给出了D 'Abbicco（2014）提出的一个开放问题的答案。而且，与已有的结果相比，我们的结果不需要初值的任何正条件。我们的结果的证明是基于一个积分不等式解的渐近性质。

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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Nonexistence of global weak solutions for a wave equation with nonlinear memory and damping terms

In this paper, we study the nonexistence of global weak solutions for a wave equation with nonlinear memory and damping terms. We give an answer to an open problem posed in D’Abbicco (2014). Moreover, comparing with the existing results, our results do not require any positivity condition of the initial values. The proof of our results is based on the asymptotic properties of solutions for an integral inequality.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.