Estudo do problema de valor inicial para a Equação de Benjamin–Ono Dissipativa (dBO) em Espaços de Sobolev com peso

Abstract

In this work we show the well-posedness in weighted Sobolev spaces for the initial value problem associated with the dissipative Benjamin-Ono (dBO) equation. We determine persistence properties of the solution in weighted Sobolev spaces Zs,r , as well as unique continuation in these spaces.