Differential and Integral Equations

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

Eleni Bisognin, Vanilde Bisognin, Celene Buriol, and Ruy Coimbra

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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

Permanent link to this document
https://projecteuclid.org/euclid.die/1356012824

Mathematical Reviews number (MathSciNet)
MR2906545

Zentralblatt MATH identifier
1249.35327

Subjects
Primary: 35Q99: None of the above, but in this section 35M10: Equations of mixed type 35B40: Asymptotic behavior of solutions

Citation

Buriol, Celene; Bisognin, Eleni; Bisognin, Vanilde; Coimbra, Ruy. Asymptotic behavior for the Benjamin-Bona-Mahony equation in an exterior domain. Differential Integral Equations 25 (2012), no. 1/2, 31--52. https://projecteuclid.org/euclid.die/1356012824


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