The Feynman problem for the Klein-Gordon equation

Autor:	Gérard, Christian, Wrochna, Michał
Rok vydání:	2020
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics Mathematics - Spectral Theory
Druh dokumentu:	Working Paper
Popis:	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. Comment: short review article, to appear in "S\'eminaire Laurent Schwartz - EDP et applications" proceedings
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.14404 Zobrazit plný text záznamu View this record from Arxiv