Decay estimates for nonlinear Schrödinger equations

Chenjie Fan; Zehua Zhao

doi:10.3934/dcds.2021024

Article Contents

2021, Volume 41, Issue 8: 3973-3984. Doi: 10.3934/dcds.2021024

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Decay estimates for nonlinear Schrödinger equations

Chenjie Fan^1, and
Zehua Zhao^2,

1.
Academy of Mathematics and Systems Science, CAS, China
2.
University of Maryland, USA

Received: July 31, 2020

Revised: November 30, 2020

Early access: January 2021

Published: August 2021

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Abstract

In this short note, we present some decay estimates for nonlinear solutions of 3d quintic, 3d cubic NLS, and 2d quintic NLS (nonlinear Schrödinger equations).

Keywords:

Nonlinear Schrödinger equation,
decay estimate.

Mathematics Subject Classification: 35Q55, 35R01, 37K06, 37L50.

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References

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