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- W2950907514 abstract "We study the nonlinear Schrodinger equation associated with the sublaplacian L on the unit sphere $S^{2n+1}$ in $C^{n+1}$ equipped with its natural CR structure. We first prove Strichartz estimates with fractional loss of derivatives for the solutions of the free Schrodinger equation and we then deduce some local in time well-posedness results. Our results are stated in terms of certain Sobolev-type spaces, that measure the regularity of functions on $S^2n+1$ differently according to their spectral localization. Stronger conclusions are obtained for particular classes of solutions, corresponding to initial data whose spectrum is contained in a proper cone of $N^2$." @default.
- W2950907514 created "2019-06-27" @default.
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- W2950907514 date "2012-10-16" @default.
- W2950907514 modified "2023-09-27" @default.
- W2950907514 title "Strichartz estimates for the Schrodinger equation for the sublaplacian on complex spheres" @default.
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