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

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2024-09-07 DOI:10.1016/j.nonrwa.2024.104212

引用次数: 0

Abstract

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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一个空间维度上准线性波方程经典解的胀大

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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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.