4 papers
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…
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…
The essential self-adjointness of the wave operator on radiative spacetimes
Qiuye Jia, Mikhail Molodyk, Ethan Sussman
We prove the essential self-adjointness of the d'Alembertian , allowing a larger class of spacetimes than previously considered, including those that arise from perturbi…
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…