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On the scattering of subcritical defocusing generalized Korteweg-de Vries equation - MaRDI portal

On the scattering of subcritical defocusing generalized Korteweg-de Vries equation (Q6045038)

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scientific article; zbMATH DE number 7689312
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On the scattering of subcritical defocusing generalized Korteweg-de Vries equation
scientific article; zbMATH DE number 7689312

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    On the scattering of subcritical defocusing generalized Korteweg-de Vries equation (English)
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    26 May 2023
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    The generalized Korteweg-de Vries equation \[ u_t+u_{xxx}-(|u|^{2\alpha}u)_x=0 \] is considered in a Morrey-type scale invariant space. A scattering result for apriorily bounded solutions is proved combining refined methods of Strichartz, Tao, Masaki, Segata and Dodson.
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    generalized Korteweg-de Vries equation
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    defocusing case
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    scattering
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