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On a class of nonlinear Schrödinger equations with nonnegative potentials in two space dimensions

✍ Scribed by Jian Zhang; Ji Shu


Book ID
114988191
Publisher
SP MAIK Nauka/Interperiodica
Year
2012
Tongue
English
Weight
582 KB
Volume
91
Category
Article
ISSN
0001-4346

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A Class of Nonlinear Schrödinger Equatio
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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