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Asymptotic stability of Schrödinger semigroups onL1(ℝN)

✍ Scribed by Wolfgang Arendt; Charles J. K. Batty; Philippe Bénilan


Book ID
110559272
Publisher
Springer-Verlag
Year
1992
Tongue
French
Weight
364 KB
Volume
209
Category
Article
ISSN
0025-5874

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On asymptotic stability of solitary wave
✍ Vladimir S. Buslaev; Catherine Sulem 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 401 KB

We study the long-time behavior of solutions of the nonlinear Schrödinger equation in one space dimension for initial conditions in a small neighborhood of a stable solitary wave. Under some hypothesis on the structure of the spectrum of the linearized operator, we prove that, asymptotically in time