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math.AP2018
Stability of the Cubic Nonlinear Schrodinger Equation on Irrational Tori
Gigliola Staffilani, Bobby Wilson
A characteristic of the defocusing cubic nonlinear Schrödinger equation (NLSE), when defined so that the space variable is the multi-dimensional square (hence rational) torus, is t…
math.CA2018
Weighted restriction estimates and application to Falconer distance set problem
Xiumin Du, Larry Guth, Yumeng Ou +3
We prove some weighted Fourier restriction estimates using polynomial partitioning and refined Strichartz estimates. As application we obtain improved spherical average decay rates…