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A Statistical Approach to the Asymptotic Behavior of a Class of Generalized Nonlinear Schrödinger Equations

✍ Scribed by Richard S. Ellis; Richard Jordan; Peter Otto; Bruce Turkington


Publisher
Springer
Year
2004
Tongue
English
Weight
378 KB
Volume
244
Category
Article
ISSN
0010-3616

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A Class of Nonlinear Schrödinger Equatio
✍ Riccardo Adami; Alessandro Teta 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 209 KB

We consider the nonlinear Schro dinger equation in dimension one with a nonlinearity concentrated in a finite number of points. Detailed results on the local existence of the solution in fractional Sobolev spaces H \ are given. We also prove the conservation of the L 2 -norm and the energy of the so