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Multilinear Eigenfunction Estimates for the Harmonic Oscillator and the Nonlinear Schrödinger Equation with the Harmonic Potential

✍ Scribed by Takafumi Akahori; Kenichi Ito

Publisher
Springer
Year
2009
Tongue
English
Weight
637 KB
Volume
10
Category
Article
ISSN
1424-0637

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✍ Rémi Carles 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 316 KB

Solutions of semi-classical Schrödinger equation with isotropic harmonic potential focus periodically in time. We study the perturbation of this equation by a nonlinear term. If the scaling of this perturbation is critical, each focus crossing is described by a nonlinear scattering operator, which i