Akademik Veri Yönetim Sistemi
Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences, cilt.64, sa.5-6, ss.315-326, 2009 (SCI-Expanded)
We consider the existence, both locally and globally in time, the asymptotic behaviour, and the blow up of solutions to the initial boundary value problem for a class of nonlinear wave equations with dissipative and dispersive terms. Under rather mild conditions on the nonlinear term and the initial data we prove that the above-mentioned problem admits a unique local solution, which can be continued to a global solution, and the solution decays exponentially to zero as t → +∞. Finally, under a suitable condition on the nonlinear term, we prove that the local solutions with negative and nonnegative initial energy blow up in finite time. © 2009 Verlag der Zeitschrift für Naturforschung, Tübingen.