Global analytic solutions to the nonlinear Schrödinger equation

Daniel Oliveira Da Silva; Magzhan Biyar

Global analytic solutions to the nonlinear Schrödinger equation

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove the existence of global analytic solutions to the nonlinear Schrödinger equation in one dimension for a certain type of analytic initial data in L^2.

Original language	English
Journal	Analysis (Germany)
Publication status	Accepted/In press - May 11 2020

Access to Document

https://arxiv.org/pdf/1903.10437.pdfLicence: Unspecified

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title = "Global analytic solutions to the nonlinear Schr{\"o}dinger equation",

abstract = "We prove the existence of global analytic solutions to the nonlinear Schr{\"o}dinger equation in one dimension for a certain type of analytic initial data in L^2.",

author = "{Oliveira Da Silva}, Daniel and Magzhan Biyar",

year = "2020",

month = may,

day = "11",

language = "English",

journal = "Analysis (Germany)",

issn = "0174-4747",

publisher = "Walter de Gruyter GmbH",

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AU - Biyar, Magzhan

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N2 - We prove the existence of global analytic solutions to the nonlinear Schrödinger equation in one dimension for a certain type of analytic initial data in L^2.

AB - We prove the existence of global analytic solutions to the nonlinear Schrödinger equation in one dimension for a certain type of analytic initial data in L^2.

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JO - Analysis (Germany)

JF - Analysis (Germany)

SN - 0174-4747

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