Breakdown in finite time of solutions to a one-dimensional wave equation.
Kirane, Mokhtar ; Messaoudi, Salim A.
Revista Matemática de la Universidad Complutense de Madrid, Tome 13 (2000), p. 413-422 / Harvested from Biblioteca Digital de Matemáticas
Access to full text

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.

Publié le : 2000-01-01
DMLE-ID : 824 
@article{urn:eudml:doc:44357,
     title = {Breakdown in finite time of solutions to a one-dimensional wave equation.},
     journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
     volume = {13},
     year = {2000},
     pages = {413-422},
     zbl = {0979.35104},
     mrnumber = {MR1822123},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44357}
}

Kirane, Mokhtar; Messaoudi, Salim A. Breakdown in finite time of solutions to a one-dimensional wave equation.. Revista Matemática de la Universidad Complutense de Madrid, Tome 13 (2000) pp. 413-422. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44357/