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A variational method of optimal control problems for nonlinear Schrödinger equations

✍ Scribed by Murat Subaşi


Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
86 KB
Volume
20
Category
Article
ISSN
0749-159X

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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