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A Stochastic Nonlinear Schrödinger Equation¶with Multiplicative Noise

✍ Scribed by A. de Bouard; A. Debussche


Publisher
Springer
Year
1999
Tongue
English
Weight
156 KB
Volume
205
Category
Article
ISSN
0010-3616

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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