The IVP for the Benjamin-Ono equation in weighted Sobolev spaces

By Germán E. Fonseca, Gustavo Ponce. 2010

79 citations recorded by the source corpus.

In this work we continue our study initiated in \cite{GFGP} 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 \cite{GFGP} do not extend to any pair of non-vanishing solutions of the BO equation. Also, we shall prove that the uniqueness result established in \cite{GFGP} under a hypothesis involving information of the solution at three different times can not be relaxed to two different times.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3078acc8c07473fd3079c752f71e1375ae2a366e

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In Applied Mathematics

1. Felipe Linares
2. Germán E. Fonseca
3. Gustavo Ponce
4. S. Kinoshita
5. Sebastian Herr
6. Axel Grunrock

In Mathematical Physics

1. Felipe Linares
2. Germán E. Fonseca
3. Gustavo Ponce
4. Fabian Hornung
5. S. Kinoshita
6. Masahiro Ikeda
7. Albert J. Milani
8. Yuta Wakasugi

Citations in the corpus

• The IVP for the dispersion generalized Benjamin–Ono equation in weighted Sobolev spaces (2011, methodology): “The results in [24,25] were recently extended to fractional order weighted Sobolev spaces in [15].”