A matrix D'Alembert formula for coupled wave initial value problems

被引：5

作者：

Jodar, L ^{[1
]}

Goberna, D ^{[1
]}

机构：

[1] Univ Politecn Valencia, Dept Matemat Aplicada, E-46071 Valencia, Spain

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1998年 / 35卷 / 09期

关键词：

coupled wave equation; initial value problem; D'Alembert formula; matrix functional calculus; complex variable; Fourier transform; wave admissible function;

D O I：

10.1016/S0898-1221(98)00052-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If C is an invertible matrix in C-rxr, the coupled wave equation initial value problem u(tt) = C(2)u(xx), -infinity < x < infinity, t > 0, u(x, 0) = f(x), and u(t)(x, 0) = g(x) for -infinity < x < infinity is studied. A matrix D'Alembert formula for the closed form solution of the coupled wave equation is given. The approach is based on the Fourier transform, the holomorphic matrix functional calculus and some elements of complex variable functions. For the scalar case, the proposed D'Alembert formula coincides with the classical one.

引用

页码：1 / 15

页数：15

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