Nonlinear singular hyperbolic initial boundary value problems
dc.contributor.author | Mesloub, Said | |
dc.contributor.author | Bachar, Imed | |
dc.date.accessioned | 2022-08-19T19:17:47Z | |
dc.date.available | 2022-08-19T19:17:47Z | |
dc.date.issued | 2017-11-08 | |
dc.description.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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 11 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Mesloub, S., & Bachar, I. (2017). Nonlinear singular hyperbolic initial boundary value problems. Electronic Journal of Differential Equations, 2017(277), pp. 1-11. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/16078 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Fixed point theorem | |
dc.subject | A priori bound | |
dc.subject | Existence and uniqueness | |
dc.subject | Integro-differential equation | |
dc.title | Nonlinear singular hyperbolic initial boundary value problems | |
dc.type | Article |