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).
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页码：432 / 450
页数：19
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