常系数超双曲型方程边值问题解的唯一性和存在性定理一

Uniqueness and Existence of Solutions of Constant coefficient Ultrahyperbolic Partial Differential Equation

0 引言 1948年,Н.СЛискунов曾用级数比较系数法证明了四变元超双曲型方程特征问题解的存在性和唯一性,从而说明了此问题的适定性。1961年,А.С.бдаговещенский将此结论推广到2n个变元的情形。1952年,O.G.

This paper is to establish the uniqueness theorems applying to solutions of Threeboundary value problems of the constant coefficient ultrahypevbolicpartial differentialequation. and to investigate teh existence of solutions of (2) by using its fundamwntal solutions androundamentak formula.