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math.AP2026
Scattering in spacetime cones for the nonlinear Schrödinger equation
Andrew Hassell, Qiuye Jia, Xiaoxu Wu
We consider the nonlinear Schrödinger equation on , with a class of `mixed' nonlinearities that admit soliton solutions. We are interested in the long-time behavi…
math.AP2026
Lecture notes on non-elliptic Fredholm theory
Andrew Hassell, Qiuye Jia, Ethan Sussman
These are lecture notes from the Austral Winter School on Microlocal Analysis and Non-elliptic Fredholm Theory, held at the Australian National University, Canberra, June 30 -- Jul…
math.AP2026
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…