The Doubly Periodic "Jump" Problem for a Second-Order Linear Elliptic Equation With Constant Coefficients

被引：2

作者：

Bikchantaev, I. A. ^{[1
]}

机构：

[1] Kazan Fed Univ, Ul Kremlyovskaya 18, Kazan 420008, Russia

来源：

RUSSIAN MATHEMATICS | 2019年 / 63卷 / 02期

关键词：

elliptic equation; boundary value problem; doubly periodic function;

D O I：

10.3103/S1066369X19020026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a homogeneous differential second-order equation of elliptic type with constant coefficients, we study the boundary-value problem of finding doubly periodic solutions for given jumps of the solutions themselves and their derivatives on a smooth as well as on a non-rectifiable closed contour. We get the necessary and sufficient conditions for the solvability of the problem and obtain explicit formulas for its solution.

引用

页码：11 / 17

页数：7

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