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On Schrödinger Equations with Concentrated Nonlinearities

✍ Scribed by G. Jonalasinio; C. Presilla; J. Sjostrand

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
648 KB
Volume
240
Category
Article
ISSN
0003-4916

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A Class of Nonlinear Schrödinger Equatio
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✍ 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