The Feynman problem for the Klein-Gordon equation
Analysis of PDEs
2020-04-01 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
We report on the well-posedness of the Feynman problem for the Klein-Gordon equation on asymptotically Minkowski spacetimes. The main result is the invertibility of the Klein-Gordon operator with Feynman conditions at infinite times. Furthermore, the inverse is shown to coincide with the Duistermaat-H\"ormander Feynman parametrix modulo smoothing terms.
Cite
@article{arxiv.2003.14404,
title = {The Feynman problem for the Klein-Gordon equation},
author = {Christian Gérard and Michał Wrochna},
journal= {arXiv preprint arXiv:2003.14404},
year = {2020}
}
Comments
short review article, to appear in "S\'eminaire Laurent Schwartz - EDP et applications" proceedings