ON SOLVABILITY AND WELL-POSEDNESS OF BOUNDARY VALUE PROBLEMS FOR NONLINEAR HYPERBOLIC EQUATIONS OF THE FOURTH ORDER

被引：0

作者：

Kiguradze, Tariel ^{[1
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2008年 / 15卷 / 03期

关键词：

Nonlinear; fourth order; hyperbolic; Dirichlet; Nicoletti;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the rectangle Omega = [0, a] x [0, b] the nonlinear hyperbolic equation u((2,2)) = f(x, y, u) with the continuous right-hand side f : Omega x R -> R is considered. Unimprovable in a sense sufficient conditions of solvability of Dirichlet, Dirichlet-Nicoletti and Nicoletti boundary value problems are established.

引用

页码：555 / 569

页数：15

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