Mixed nonlocal problem for a nonlinear singular hyperbolic equation

被引：4

作者：

Mesloub, Said ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2010年 / 33卷 / 01期

关键词：

nonlinear hyperbolic equation; nonlocal condition; a priori estimate; Bessel operator; iterative method;

D O I：

10.1002/mma.1150

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a nonlocal mixed problem for a nonlinear hyperbolic equation. Based on some a priori estimates and some density arguments, we prove the well posedness of the associated linear problem. The existence and uniqueness of the weak solution of the nonlinear problem are then established by applying an iterative process based on the obtained results for the linear problem. Copyright (C) 2009 John Wiley & Sons, Ltd.

引用

页码：57 / 70

页数：14

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