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
✦ LIBER ✦
On a class of spatial discretizations of equations of the nonlinear Schrödinger type
✍ Scribed by P.G. Kevrekidis; S.V. Dmitriev; A.A. Sukhorukov
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 476 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0378-4754
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