Existence, global nonexistence, and asymptotic behavior of solutions for the Cauchy problem of a multidimensional generalized damped Boussinesq-type equation

Authors

ERHAN PİŞKİN
NECAT POLAT

Abstract

We consider the existence, both locally and globally in time, the global nonexistence, and the asymptotic behavior of solutions for the Cauchy problem of a multidimensional generalized Boussinesq-type equation with a damping term.

DOI

10.3906/mat-1209-59

Keywords

Existence, global nonexistence, asymptotic behavior, Boussinesq equations, damping term

First Page

706

Last Page

727

Recommended Citation

PİŞKİN, E, & POLAT, N (2014). Existence, global nonexistence, and asymptotic behavior of solutions for the Cauchy problem of a multidimensional generalized damped Boussinesq-type equation. Turkish Journal of Mathematics 38 (4): 706-727. https://doi.org/10.3906/mat-1209-59