The Benjamin-Ono equation in weighted Sobolev spaces
نویسندگان
چکیده
منابع مشابه
The Ivp for the Dispersion Generalized Benjamin-ono Equation in Weighted Sobolev Spaces
We study the initial value problem associated to the dispersion generalized Benjamin-Ono equation. Our aim is to establish well posedness results in weighted Sobolev spaces and to deduce from them some sharp unique continuation properties of solutions to this equation. In particular, we shall establish optimal decay rate for the solutions of this model. RÉSUMÉ. Nous étudions le problème de Cauc...
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In this work we continue our study initiated in [10] 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 [10] do not extend to any pair of non-vanishing solutions of the BO equation. Also, we shall prove that the uniqueness result established in [10] under a hypothesis inv...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1991
ISSN: 0022-247X
DOI: 10.1016/0022-247x(91)90108-c