特里贝尔-利佐金空间上的线性阻尼波方程求解

IF 1 3区数学 Q1 MATHEMATICS

Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-08-05 DOI:10.1007/s40840-024-01751-y

Meizhong Wang, Jiecheng Chen, Dashan Fan, Junyan Zhao

引用次数: 0

摘要

本文研究线性阻尼波方程 Cauchy 问题的解 u(t,x)。我们得到了在固定时间 t 时，解 u(t, x) 在 Triebel-Lizorkin 空间上有界的充分必要条件。

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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Solution of Linear Damped Wave Equation on Triebel–Lizorkin Spaces

In this article we study the solution u(t, x) of the Cauchy problem of linear damped wave equation. We obtain the sufficient and necessary condition of the boundedness of the solution u(t, x) on the Triebel–Lizorkin space at a fixed time t.

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来源期刊

Bulletin of the Malaysian Mathematical Sciences Society 数学-数学

CiteScore

2.40

自引率

8.30%

发文量

176

审稿时长

3 months

期刊介绍： This journal publishes original research articles and expository survey articles in all branches of mathematics. Recent issues have included articles on such topics as Spectral synthesis for the operator space projective tensor product of C*-algebras; Topological structures on LA-semigroups; Implicit iteration methods for variational inequalities in Banach spaces; and The Quarter-Sweep Geometric Mean method for solving second kind linear fredholm integral equations.