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- W4376171610 abstract "We consider the one-dimensional nonlinear Schrodinger equation with an attractive delta potential and mass-supercritical nonlinearity. This equation admits a one-parameter family of solitary wave solutions in both the focusing and defocusing cases. We establish asymptotic stability for all solitary waves satisfying a suitable spectral condition, namely, that the linearized operator around the solitary wave has a two-dimensional generalized kernel and no other eigenvalues or resonances. In particular, we extend our previous result beyond the regime of small solitary waves and extend the results of Fukuizumi-Ohta-Ozawa and Kaminaga-Ohta from orbital to asymptotic stability for a suitable family of solitary waves." @default.
- W4376171610 created "2023-05-12" @default.
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- W4376171610 date "2020-08-26" @default.
- W4376171610 modified "2023-10-01" @default.
- W4376171610 title "Asymptotic stability of solitary waves for the $1d$ NLS with an attractive delta potential" @default.
- W4376171610 doi "https://doi.org/10.48550/arxiv.2008.11645" @default.
- W4376171610 hasPublicationYear "2020" @default.
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