A new solution representation for the BBM equation in a quarter plane and the eventual periodicity

Simple item page
dc.creatorHong, John Meng-Kai
dc.creatorWu, Jiahong
dc.creatorYuan, Juan-Ming
dc.date2008-02-05
dc.date.accessioned2026-07-07T09:18:58Z
dc.date.available2026-07-07T09:18:58Z
dc.descriptionThe initial- and boundary-value problem for the Benjamin-Bona-Mahony (BBM) equation is studied in this paper. The goal is to understand the periodic behavior (termed as eventual periodicity) of its solutions corresponding to periodic boundary condition or periodic forcing. To this aim, we derive a new formula representing solutions of this initial- and boundary-value problem by inverting the operator $\partial_t +α\partial_x -γ\partial_{xxt}$ defined in the space-time quarter plane. The eventual periodicity of the linearized BBM equation with periodic boundary data and forcing term is established by combining this new representation formula and the method of stationary phase.
dc.identifierhttps://arxiv.org/abs/0802.0712
dc.identifierhttp://arxiv.org/abs/0802.0712
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154218
dc.subjectAnalysis of PDEs
dc.subject35Q53; 35B40; 76B15
dc.titleA new solution representation for the BBM equation in a quarter plane and the eventual periodicity
dc.typetext

Files

Collections

arXiv