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

Autor:	Lee, Jongwon
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.05943 Zobrazit plný text záznamu View this record from Arxiv