NONLINEAR SINGULAR HYPERBOLIC INITIAL BOUNDARY VALUE PROBLEMS

被引：0
|
作者：
Mesloub, Said [1 ]
Bachar, Imed [1 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年
关键词：
Fixed point theorem; a priori bound; existence and uniqueness; integro-differential equation; INTEGRODIFFERENTIAL EQUATIONS; DISCRETIZATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we aim to prove the well posedness of a one point initial boundary value problem for a nonlinear hyperbolic singular integro-differential partial differential equation. Our proofs are mainly based on a fixed point theorem and some a priori bounds. The solvability of the problem is proved when the given data are related to a weighted Sobolev space. An additional result may allow us to study the regularity of the solution.
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页数：11
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