Full paper in PDF:
$%M. Kirane and S. A. Messaoudi, Breakdown in finite time of solutions to a one-dimensional
wave equation, Rev. Mat. Complut. 13 (2000), no. 2, 422–413.%$
ABSTRACT
We consider a special type of a one-dimensional quasilinear wave equation
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.
1991 Mathematics Subject Classification: 35L45.