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Nonlinear Schrödinger equations on compact Zoll manifolds with odd growth

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Abstract

We study nonlinear Schrödinger 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.

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  1. The Graduate School of China Academy of Engineering Physics, Beijing, 100088, China

    JianWei Yang

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Yang, J. Nonlinear Schrödinger equations on compact Zoll manifolds with odd growth. Sci. China Math. 58, 1023–1046 (2015). https://doi.org/10.1007/s11425-014-4947-3

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  • DOI: https://doi.org/10.1007/s11425-014-4947-3

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