Article ID Journal Published Year Pages File Type
4591407 Journal of Functional Analysis 2012 19 Pages PDF
Abstract

In this work we continue our study initiated in Fonseca and Ponce (2011) [11], on the uniqueness properties of real solutions to the IVP associated to the Benjamin–Ono (BO) equation. In particular, we shall show that the uniqueness results established in Fonseca and Ponce (2011) [11], do not extend to any pair of non-vanishing solutions of the BO equation. Also, we shall prove that the uniqueness result established in Fonseca and Ponce (2011) [11] under a hypothesis involving information of the solution at three different times cannot be relaxed to two different times.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory