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Some results on a class of nonlinear Schrödinger equations

✍ Scribed by Grossi M.


Book ID
127404227
Tongue
English
Weight
454 KB
Category
Library

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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