An integral evolution formula of boundary value problem for wave equations

被引：0

作者：

Fu, Ting ^{[1
]}

Zhang, Mingqian ^{[1
]}

Liu, Kai ^{[1
]}

机构：

[1] Nanjing Univ Finance & Econ, Coll Appl Math, Nanjing 210023, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2021年 / 116卷

关键词：

Inhomogeneous wave equation; Elliptic operator; Analytical solution; Duhamel's principle; ERKN INTEGRATORS; KDV; BURGERS;

D O I：

10.1016/j.aml.2021.107066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article proposes a new integral evolution formula of boundary value problem for wave equations of the form u(tt)(x, t) + L(x, D)u(x, t) = f (x, t). By introducing the operator functions, e.g., phi-functions, and using the Duhamel's principle, a compact integral evolution formula is established for inhomogeneous wave equations. The derivation is based on Duhamel's principle and the theory of operational calculus. (c) 2021 Elsevier Ltd. All rights reserved.

引用

页数：7

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