Existence and regularity for a class of nonlinear hyperbolic boundary value problems

被引：1

作者：

Hokkanen, VM

Morosanu, G

机构：

[1] Univ Jyvaskyla, Dept Math & Stat, FIN-40351 Jyvaskyla, Finland

[2] Al I Cuza Univ, Fac Math, RO-6600 Iasi, Romania

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 266卷 / 02期

关键词：

telegraph system; nonlinear boundary conditions; higher regularity; D'Alembert formulae; semigroup approach;

D O I：

10.1006/jmaa.2001.7757

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The regularity of the solution of the telegraph system with nonlinear monotone boundary conditions is investigated by two methods. The first one is based on D' Alembert-type representation formulae for the solution. In the second method the telegraph system is reduced to a linear Cauchy problem with a locally Lipschitzian functional perturbation; then regularity results are established by appealing to the theory of linear semigroups. (C) 2002 Elsevier Science (USA).

引用

页码：432 / 450

页数：19