Schrodinger equations and irrational tori
Schrodinger equations and irrational tori
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Yu Deng , NYU
We prove long-time Strichartz estimates for solutions to the听linear Schrodinger equation on generic irrational tori. This improves the听recent work of Bourgain and Demeter. As an application, we also establishpolynomial bounds for Sobolev norm of solutions to the energy critical听nonlinear Schrodinger equation in 3D. The first part is joint work with P.听Germain and L. Guth.