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arXiv · 2207.12727

A note on the quartic generalized Korteweg-de Vries equation in weighted Sobolev spaces

Alejandro J. Castro·Amin Esfahani·Lyailya Zhapsarbayeva
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Abstract

In this paper we establish the persistence property for solutions of the quartic generalized Korteweg-de Vries equation with initial data in weighted Sobolev spaces $H^{s}(\mathbb{R})\cap L^2(|x|^{2r}dx)$ for $s =1/12 + \varepsilon$ and any $r\in (0,R)$, for some $0 < \varepsilon < 1/4$ and $0<R<s/2$.

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Alejandro J. Castro, Amin Esfahani, Lyailya Zhapsarbayeva. 2022-07-26. A note on the quartic generalized Korteweg-de Vries equation in weighted Sobolev spaces. https://doi.org/10.1016/j.na.2023.113400

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