A Boundary Value Problem with Conditions on the Entire Boundary of a Noncharacteristic Domain for a Fourth-Order Equation

被引:1
作者
Utkina, E. A. [1 ]
机构
[1] Kazan Fed Univ, Kazan 420008, Tatarstan, Russia
关键词
Unique Solvability; Zero Solution; Order Partial Differential Equation; Entire Boundary; Longitudinal Wave;
D O I
10.1134/S1064562411030434
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A boundary value problem with conditions on the entire boundary of a noncharacteristic domain for a fourth-order equation is studied. A method for obtaining conditions which ensure the unique solvability of this problem is proposed. This method reduces the problem to Fredholm equations, whose unique solvability is ensured by a uniqueness theorem proved by the method. To prove the uniqueness of a solution to problem, it is verified that under homogeneous conditions, the homogeneous equation has only the zero solution. The function, which is not identically zero on the domain, is a solution to the problem.
引用
收藏
页码:539 / 541
页数:3
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