DISCONTINUOUS SOLUTIONS OF A NON-LINEAR HYPERBOLIC EQUATION WITH UNILATERAL CONSTRAINTS

被引：8

作者：

CITRINI, C

机构：

[1] Istituto di Matematica della Facoltà di Ingegneria, Politecnico di Milano, Milano, 20133

来源：

MANUSCRIPTA MATHEMATICA | 1979年 / 29卷 / 2-4期

关键词：

D O I：

10.1007/BF01303634

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe firstly an unilateral problem for the homogeneous wave equation in two variables, giving existence, uniqueness and continuous dependence results, and a description of the pencil of the solutions in the cases where uniqueness fails to hold. In particular we prove the existence of super- and subsolutions. We apply then the above results to the equation ytt-yxx=F(x,t,y) with unilateral constraints whose support lies on a line in a generalized half strip in the (x,t) plane. © 1979 Springer-Verlag.

引用

页码：323 / 352

页数：30

共 11 条

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[6] CITRINI C, 1978, RISULTATI TIPICI P 3
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[9] Natanson I.P., 1961, THEORIE FUNKTIONEN R
[10] ROTMAN B, 1966, THEORY SETS TRANSFIN

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