The cauchy problem for Schrödinger flows into kähler manifolds

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Abstract

We prove local well-posedness of the Schrödinger flow from ℝn into a compact Kähler manifold N with initial data in Hs+1(ℝn,N) for 3≥ [n/2]+4.

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Kenig, C., Lamm, T., Pollack, D., Staffilani, G., & Toro, T. (2010). The cauchy problem for Schrödinger flows into kähler manifolds. Discrete and Continuous Dynamical Systems, 27(2), 389–439. https://doi.org/10.3934/dcds.2010.27.389

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