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The Kato smoothing effect for the nonlinear regularized Schrödinger equation on compact manifolds
<p style='text-indent:20px;'>We establish Strichartz estimates for the regularized Schrödinger equation on a two dimensional compact Riemannian manifold without boundary. As a consequence we deduce global existence and uniqueness results for the Cauchy problem for the nonlinear regularized Schrödinger equation and we prove under the geometric control condition the Kato smoothing …