Well-posedness in H for the (generalized) Benjamin-Ono equation on the circle
نویسندگان
چکیده
We prove the local well posedness of the Benjamin-Ono equation and the generalized Benjamin-Ono equation in H(T). This leads to a global wellposedness result in H(T) for the Benjamin-Ono equation.
منابع مشابه
Global well-posedness in the Energy space for the Benjamin-Ono equation on the circle
We prove that the Benjamin-Ono equation is well-posed in H(T). This leads to a global well-posedeness result in H(T) thanks to the energy conservation. Résumé. Nous montrons que l’équation de Benjamin-Ono est bien posée dans H(T). Il découle alors de la conservation de l’énergie que la solution existe pour tout temps dans cette espace.
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