On the Benjamin Ono equation in the half line

18 Jan 2021  ·  Duván Cardona, Liliana Esquivel ·

We consider the inhomogeneous Dirichlet initial boundary value problem for the Benjamin-Ono equation formulated on the half line. We study the global in time existence of solutions to the initial-boundary value problem. This work is a continuation of the ones [14,15] by Hayashi and Kaikina where the global in time existence and the asymptotic behaviour of solutions for large time were considered.

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Analysis of PDEs Mathematical Physics Classical Analysis and ODEs Complex Variables Mathematical Physics