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The Hamiltonian Structure of the Nonlinear Schrödinger Equation and the Asymptotic Stability of its Ground States

✍ Scribed by Scipio Cuccagna

Publisher
Springer
Year
2011
Tongue
English
Weight
658 KB
Volume
305
Category
Article
ISSN
0010-3616

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📜 SIMILAR VOLUMES

Controllability of the nonlinear Schrödi
Controllability of the nonlinear Schrödinger equation in the vicinity of the ground state
✍ H. Lange; H. Teismann 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 213 KB

## Abstract Local exact controllability of the one‐dimensional NLS (subject to zero‐boundary conditions) with distributed control is shown to hold in a __H__^1^‐neighbourhood of the nonlinear ground state. The __Hilbert Uniqueness Method__ (__HUM__), due to Lions, is applied to the linear control p