波动方程的多点问题及其应用

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-10-06 DOI:10.1007/s10255-025-0069-7

Veli Shakhmurov, Rishad Shahmurov

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引用次数: 0

摘要

本文给出了抽象线性和非线性波动方程多点问题解的存在唯一性和Strichartz型估计。通过选取空间H和算子a，得到了弹性杆、流体动力过程、等离子体、材料科学和物理等领域中出现的一类广泛的波动方程解的存在性、唯一性正则性和Strichartz型估计。

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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Multipoint Problems for Wave Equations and Applications

In this paper, the existence, uniqueness and Strichartz type estimates to solutions of multipoint problem for abstract linear and nonlinear wave equations are obtained. The equation includes a linear operator A defined in a Hilbert space H. We obtain the existence, uniqueness regularity properties, and Strichartz type estimates to solutions of a wide class of wave equations which appear in the fields of elastic rod, hydro-dynamical process, plasma, materials science and physics, by choosing the space H and the operator A.

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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.