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In the first part of this work we study the local well-posedness of dispersive equations in the weighted spaces H(R) ∩ L(|x|dx). We then apply our results for several dispersive… Click to show full abstract
In the first part of this work we study the local well-posedness of dispersive equations in the weighted spaces H(R) ∩ L(|x|dx). We then apply our results for several dispersive models such as the Hirota-Satsuma system, the OST equation, the Kawahara equation and a fifth-order model. Using these local results, the second part of this work is devoted to obtain results related to dispersive blow up of the Kawahara equation and Hirota-Satsuma system.
Keywords:
weighted sobolev;
dispersive blow;
dispersive equations;
local well;
posedness weighted;
well posedness
Journal Title: Mathematische Annalen
Year Published: 2022
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Journal Title: Mathematische Annalen
Year Published: 2022
Link to full text (if available)
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recommendations!