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

@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 -