4 papers
The scattering map for the Schrodinger operator on curved spaces
Andrew Hassell, Qiuye Jia
Let be a Schrödinger operator with metric and potential perturbation that are compactly supported in spacetime . Here and $Δ_g…
Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Asymptotics
Andrew Hassell, Qiuye Jia, Ethan Sussman +1
This is the less technical half of a two-part work in which we introduce a robust microlocal framework for analyzing the non-relativistic limit of relativistic wave equations with…
Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Estimates
Andrew Hassell, Qiuye Jia, Ethan Sussman +1
This is the more technical half of a two-part work in which we introduce a robust microlocal framework for analyzing the non-relativistic limit of relativistic wave equations with…
The final state problem for the nonlinear Schrodinger equation in dimensions 1, 2 and 3
Andrew Hassell, Qiuye Jia
In this article we consider the defocusing nonlinear Schrödinger equation, with time-dependent potential, in space dimensions and , with nonlinearity , …