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Bilinear Strichartz estimates for Schr\"odinger operators in 2 dimensional compact manifolds with boundary and cubic NLS by Jiang, Jin-Cheng is a scholarly article available to read on EtoBox.

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In this paper, we establish bilinear and gradient bilinear Strichartz estimates for Schr\"odinger operators in 2 dimensional compact manifolds with boundary. Using these estimates, we can infer the local well-posedness of cubic nonlinear Schr\"odinger equation in $H^s$ for every $s>{2/3}$ on such manifolds.

Author

Jiang, Jin-Cheng

Published

2009

Language

EN