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Locating peaks of a Schrödinger equation with sign-changing nonlinearity

✍ Scribed by Andrés I. Ávila; Jianfu Yang

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
240 KB
Volume
74
Category
Article
ISSN
0362-546X

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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