Asymptotic behavior of the nonlinear damped Schrödinger equation
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- by Takahisa Inui PDF
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Abstract:
We are interested in the asymptotic behavior of the solution to the nonlinear damped Schrödinger equation (NLDS). In the present paper, we discuss when the global solutions to NLDS exponentially scatter to linear damped solutions. Moreover, we also show the additional time decay order.References
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Additional Information
- Takahisa Inui
- Affiliation: Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan
- MR Author ID: 1094227
- Email: inui@math.sci.osaka-u.ac.jp
- Received by editor(s): April 11, 2018
- Received by editor(s) in revised form: June 7, 2018
- Published electronically: November 5, 2018
- Additional Notes: The author was supported by JSPS Grant-in-Aid for Early-Career Scientists JP18K13444.
- Communicated by: Joachim Krieger
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 763-773
- MSC (2010): Primary 35Q55, 37K40
- DOI: https://doi.org/10.1090/proc/14276
- MathSciNet review: 3894914