Persistence of solutions to the Derivative Nonlinear Schrödinger equation in weighted Sobolev spaces

2022/12/11 by Castro, Alejandro J., Jabbarkhanov, Khumoyun, Kassimbekov, Azamat
#35A02 #35B65 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2212.05379

Abstract

In this paper we show the persistence property for solutions of the derivative nonlinear Schrödinger equation with initial data in weighted Sobolev spaces H²(ℝ)∩ L²(|x|^2rdx), r∈ (0,1].

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