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- W3200969857 abstract "Combining virial inequalities by Kowalczyk, Martel and Munoz and Kowalczyk, Martel, Munoz and Van Den Bosch with our theory on how to derive nonlinear induced dissipation on discrete modes, and in particular the notion of Refined Profile, we show how to extend the theory by Kowalczyk, Martel, Munoz and Van Den Bosch to the case when there is a large number of discrete modes in the cubic NLS with a trapping potential which is associated to a repulsive potential by a series of Darboux transformations. Even though, by its non translation invariance, our model avoids some of the difficulties related to the effect that translation has on virial inequalities of the kink stability problem for wave equations, it still is a classical model and it retains some of the main difficulties." @default.
- W3200969857 created "2021-09-27" @default.
- W3200969857 creator A5053127593 @default.
- W3200969857 creator A5057388191 @default.
- W3200969857 date "2022-09-05" @default.
- W3200969857 modified "2023-09-25" @default.
- W3200969857 title "On Selection of Standing Wave at Small Energy in the 1D Cubic Schrödinger Equation with a Trapping Potential" @default.
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- W3200969857 doi "https://doi.org/10.1007/s00220-022-04487-7" @default.
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