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Growth of Sobolev Norms and Controllability of the Schrödinger Equation

✍ Scribed by Vahagn Nersesyan


Publisher
Springer
Year
2009
Tongue
English
Weight
267 KB
Volume
290
Category
Article
ISSN
0010-3616

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The Cauchy problem for the nonlinear Schro dinger equations is considered in the Sobolev space H nÂ2 (R n ) of critical order nÂ2, where the embedding into L (R n ) breaks down and any power behavior of interaction works as a subcritical nonlinearity. Under the interaction of exponential type the ex