arXiv subjects

Lyailya Zhapsarbayeva

Publications and source records attributed to Lyailya Zhapsarbayeva.

2 recordsLinked to original sources

arXiv2023

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

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 $0<R<s/2$.

math.AP↗

arXiv2022

The Nonlinear Schrödinger-Airy equation in weighted Sobolev spaces

We study the persistence property of the solution for the nonlinear Schrödinger-Airy equation with initial data in the weighted Sobolev space $H^{1/4}(\mathbb{R})\cap L^2(|x|^{2m}dx)$, $0<m \leq 1/8$, via the contraction principle.

math.AP↗