具有可变系数扩散的阻尼波方程的全局存在性和渐近曲线

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2024-01-08 DOI:10.58997/ejde.2024.04

Yuequn Li, Hui Liu, Fei Guo

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引用次数: 0

摘要

我们考虑了一个一维半线性波方程的 Cauchy 问题，该方程具有可变系数扩散、随时间变化的阻尼和扰动。通过使用缩放变量和能量法，给出了全局好求和渐近曲线。作为副产品，还得到了求解寿命的下限估计值。更多信息，请参见 https://ejde.math.txstate.edu/Volumes/2024/04/abstr.html

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 asymptotic profile for a damped wave equation with variable-coefficient diffusion

We considered a Cauchy problem of a one-dimensional semilinear wave equation with variable-coefficient diffusion, time-dependent damping, and perturbations. The global well-posedness and the asymptotic profile are given by employing scaling variables and the energy method. The lower bound estimate of the lifespan to the solution is obtained as a byproduct. For more information see https://ejde.math.txstate.edu/Volumes/2024/04/abstr.html

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.