## Differential and Integral Equations

### Asymptotic behavior for the Benjamin-Bona-Mahony equation in an exterior domain

#### Abstract

In this work we study the existence, uniqueness and asymptotic behavior in time of solutions for the dissipative Benjamin-Bona-Mahony equation in an exterior domain $\Omega \subset {{\mathbb R ^{n}}}$ ($n=2,3$). We obtain explicit polynomial decay rates for some norms of the solution which include the energy norm.

#### Article information

Source
Differential Integral Equations, Volume 25, Number 1/2 (2012), 31-52.

Dates
First available in Project Euclid: 20 December 2012