Continuous dependence for NLS in fractional order spaces

Details Continuous dependence for NLS in fractional order spaces Continuous dependence for NLS in fractional order spaces

2010-06-14

arxiv.org/abs/1006.2745v2

Mathematics

Analysis of PDEs

Corrected typos. Simplified section 4. Results unchanged

Scientific paper

We consider the Cauchy problem for the nonlinear Schr\"odinger equation $iu_t+ \Delta u+ \lambda |u|^\alpha u=0$ in $\R^N $, in the $H^s$-subcritical and critical cases $0<\alpha \le 4/(N-2s)$, where $0

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