Bilinear Strichartz Estimates for Schrödinger Operators in 2 Dimensional Compact Manifolds with Boundary and Cubic Nls
نویسنده
چکیده
In this paper, we establish bilinear and gradient bilinear Strichartz estimates for Schrödinger operators in 2 dimensional compact manifolds with boundary. Using these estimates, we can infer the local well-posedness of cubic nonlinear Schrödinger equation in H for every s > 2 3 on such manifolds.
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