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math.AP2023
Rectifiability and tangents in a rough Riemannian setting
Emily Casey, Max Goering, Tatiana Toro +1
Characterizing rectifiability of Radon measures in Euclidean space has led to fundamental contributions to geometric measure theory. Conditions involving existence of principal val…
math.AP2023
Global well-posedness and scattering for the defocusing mass-critical Schrödinger equation in the three-dimensional hyperbolic space
Bobby Wilson, Xueying Yu
In this paper, we prove that the initial value problem for the mass-critical defocusing nonlinear Schrödinger equation on the three-dimensional hyperbolic space is g…
math.AP2021★ 3 cited
Energy transfer for solutions to the nonlinear Schrödinger equation on irrational tori
Alexander Hrabski, Yulin Pan, Gigliola Staffilani +1
We analyze the energy transfer for solutions to the defocusing cubic nonlinear Schrödinger (NLS) initial value problem on 2D irrational tori. Moreover we complement the analytic st…