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On well-posedness for nonlinear Schrödinger equations with power nonlinearity in fractional order Sobolev spaces

✍ Scribed by Harunori Uchizono; Takeshi Wada


Book ID
113722086
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
231 KB
Volume
395
Category
Article
ISSN
0022-247X

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Nonlinear Schrödinger Equations in the S
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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