Nonlinear singular hyperbolic initial boundary value problems

Date

2017-11-08

Authors

Mesloub, Said
Bachar, Imed

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

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.

Description

Keywords

Fixed point theorem, A priori bound, Existence and uniqueness, Integro-differential equation

Citation

Mesloub, S., & Bachar, I. (2017). Nonlinear singular hyperbolic initial boundary value problems. <i>Electronic Journal of Differential Equations, 2017</i>(277), pp. 1-11.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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