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On a class of nonlinear inhomogeneous Schrödinger equation

✍ Scribed by Jianqing Chen


Book ID
107619889
Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
508 KB
Volume
32
Category
Article
ISSN
1598-5865

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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