Local well-posedness in weighted Sobolev spaces for nonlinear dispersive equations with applications to dispersive blow up
نویسندگان
چکیده
In the first part of this work we study local well-posedness dispersive equations in weighted spaces $$H^s({\mathbb {R}})\cap L^2(|x|^{2b}dx)$$ . We then apply our results for several models such as Hirota-Satsuma system, OST equation, Kawahara equation and a fifth-order model. Using these results, second is devoted to obtain related blow up system.
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2022
ISSN: ['1432-1807', '0025-5831']
DOI: https://doi.org/10.1007/s00208-022-02396-7