Necessary and Sufficient Conditions for the Existence of a Classical Solution of the Mixed Problem for the Homogeneous Wave Equation with an Integrable Potential

被引：6

作者：

Khromov, A. P. ^{[1
]}

机构：

[1] Chernyshevsky Saratov State Univ, Saratov 410012, Russia

来源：

DIFFERENTIAL EQUATIONS | 2019年 / 55卷 / 05期

关键词：

D O I：

10.1134/S0012266119050112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the Fourier method to obtain necessary and sufficient conditions for the existence of a classical solution of the mixed problem for a homogeneous wave equation with an integrable potential and fixed endpoints. The solution is represented by a rapidly convergent series.

引用

页码：703 / 717

页数：15

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