Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems

被引：22

作者：

Kmit, Irina ^{[1
]}

机构：

[1] Ukrainian Acad Sci, Inst Appl Problems Mech & Math, Naukova St 3b, UA-79060 Lvov, Ukraine

来源：

INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2008年 / 1卷 / 03期

关键词：

first-order hyperbolic systems; nonlinear boundary conditions; non-Lipschitz nonlinearities; classical solvability;

D O I：

10.1504/IJDSDE.2008.019680

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the global classical solvability of initial-boundary problems for semilinear first-order hyperbolic systems subjected to local and nonlocal nonlinear boundary conditions. We also establish lower bounds for the order of nonlinearity demarkating a frontier between regular cases (classical solvability) and singular cases (blow-up of solutions).

引用

页码：191 / 195

页数：5

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