论文标题
Feynman的问题Klein-Gordon方程式
The Feynman problem for the Klein-Gordon equation
论文作者
论文摘要
我们报告了Feynman问题在渐近Minkowski SpaceTimes上的feynman问题的良好性。主要结果是在无限时期的klein-gordon操作员具有Feynman条件。此外,逆证明与Duistermaat-Hörmanderfeynman parametrix modulo平滑项一致。
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-Hörmander Feynman parametrix modulo smoothing terms.