Dispersive decay bound of small data solutions to higher order scattering-supercritical KdV-type equations

DOI10.3934/EECT.2023057arXiv2210.05943OpenAlexW4389564404MaRDI QIDQ6413655

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Publication date: 12 October 2022

Abstract: In this article, we prove that small localized data yield solutions to Higher order Korteweg-de Vries type equation with scattering-supercritical nonlinearity have linear dispersive decay in only a finite length of time. The proof is done by using space-time resonance method and analyzing the oscillatory integrals on the Fourier side.

Full work available at URL: https://doi.org/10.3934/eect.2023057

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