The Nonlinear Schrödinger–Airy equation in weighted Sobolev spaces. (October 2022)

• Record Type: Journal Article
• Authors: Castro, A.J.; Jabbarkhanov, K.; Zhapsarbayeva, L.
• Is Part Of: Nonlinear analysis. Volume 223(2022)
• Publication Date: 2022-10
• Subjects: 35A02 -- 35G25 -- 35Q55; Schrödinger equation -- Weighted Sobolev space -- Persistence property -- Fractional derivative; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2022.113068
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: 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 ( R ) ∩ L 2 ( | x | 2 m d x ), 0 < m ≤ 1 / 8, via the contraction principle.