# Breakdown in finite time of solutions to a one-dimensional wave equation.

Mokhtar Kirane; Salim A. Messaoudi

Revista Matemática Complutense (2000)

- Volume: 13, Issue: 2, page 413-422
- ISSN: 1139-1138

## Access Full Article

top## Abstract

top## How to cite

topKirane, Mokhtar, and Messaoudi, Salim A.. "Breakdown in finite time of solutions to a one-dimensional wave equation.." Revista Matemática Complutense 13.2 (2000): 413-422. <http://eudml.org/doc/44357>.

@article{Kirane2000,

abstract = {We consider a special type of a one-dimensional quasilinear wave equation wtt - phi (wt / wx) wxx = 0 in a bounded domain with Dirichlet boundary conditions and show that classical solutions blow up in finite time even for small initial data in some norm.},

author = {Kirane, Mokhtar, Messaoudi, Salim A.},

journal = {Revista Matemática Complutense},

keywords = {Problema de Cauchy; Problemas hiperbólicos; Unidimensional; quasilinear wave equation; Dirichlet boundary conditions; small initial data},

language = {eng},

number = {2},

pages = {413-422},

title = {Breakdown in finite time of solutions to a one-dimensional wave equation.},

url = {http://eudml.org/doc/44357},

volume = {13},

year = {2000},

}

TY - JOUR

AU - Kirane, Mokhtar

AU - Messaoudi, Salim A.

TI - Breakdown in finite time of solutions to a one-dimensional wave equation.

JO - Revista Matemática Complutense

PY - 2000

VL - 13

IS - 2

SP - 413

EP - 422

AB - We consider a special type of a one-dimensional quasilinear wave equation wtt - phi (wt / wx) wxx = 0 in a bounded domain with Dirichlet boundary conditions and show that classical solutions blow up in finite time even for small initial data in some norm.

LA - eng

KW - Problema de Cauchy; Problemas hiperbólicos; Unidimensional; quasilinear wave equation; Dirichlet boundary conditions; small initial data

UR - http://eudml.org/doc/44357

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.