摘要
We study nonlinear Schr¨odinger equations on Zoll manifolds with nonlinear growth of the odd order.It is proved that local uniform well-posedness are valid in the Hs-subcritical setting according to the scaling invariance, apart from the cubic growth in dimension two. This extends the results by Burq et al.(2005) to higher dimensions with general nonlinearities.
We study nonlinear Schrodinger equations on Zoll manifolds with nonlinear growth of the odd order. It is proved that local uniform well-posedness are valid in the H^s-subcritical setting according to the scaling invariance, apart from the cubic growth in dimension two. This extends the results by Burq et al. （2005） to higher dimensions with general nonlinearities.
基金
supported by National Natural Science Foundation of China(Grant Nos.11171033 and 11231006)
