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arXiv · 2003.14404

The Feynman problem for the Klein-Gordon equation

Christian Gérard·Michał Wrochna
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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.

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Christian Gérard, Michał Wrochna. 2020-03-31. The Feynman problem for the Klein-Gordon equation. https://arxiv.org/abs/2003.14404

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