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Global analytic solutions for the nonlinear Schrödinger equation

  • Daniel Oliveira da Silva ORCID logo EMAIL logo and Magzhan Biyar
Published/Copyright: August 27, 2020

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 L2.

MSC 2010: 35F25; 35Q40

Acknowledgements

The authors would like to thank Alejandro J. Castro, whose comments provided the inspiration for this work, and to Achenef Tesfahun, who provided several useful comments.

References

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Received: 2019-09-20
Revised: 2020-05-12
Accepted: 2020-07-27
Published Online: 2020-08-27
Published in Print: 2020-11-01

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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