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Asymptotic stability of
solitary waves for the 1D cubic-quintic Schrödinger equation
with no internal mode
Yvan Martel |
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Vol. 3 (2022), No. 4, 839–867
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Abstract |
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For the Schrödinger equation with a cubic-quintic, focusing-defocusing nonlinearity in one space dimension, we prove the asymptotic stability of solitary waves for a large range of admissible frequencies. For this model, the linearized problem around the solitary waves does not have internal mode nor resonance. |
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Keywords
solitary wave, stability, asymptotic stability, Schrödinger
equation
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Mathematical Subject Classification
Primary: 35B40, 35Q51, 35Q55, 37K40
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Milestones
Received: 4 October 2021
Accepted: 25 May 2022
Published: 21 February 2023
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Authors |
| Yvan Martel | |
| Centre de Mathématiques Laurent
Schwartz Ecole polytechnique Institut Polytechnique de Paris Palaiseau France |
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