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math.AP2025
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…
math.AP2024
Dirac operators and local invariants on perturbations of Minkowski space
Nguyen Viet Dang, András Vasy, MichaŠWrochna
For small perturbations of Minkowski space, we show that the square of the Lorentzian Dirac operator has real spectrum apart from possible poles in a horizontal strip. Fu…