The Sobolev Wavefront Set of the Causal Propagator in Finite Regularity

Research output: Working paper/Preprint › Preprint

Authors

  • Yafet Sanchez Sanchez
  • Elmar Schrohe

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Original languageEnglish
Publication statusE-pub ahead of print - 10 Mar 2022

Abstract

In this paper we estimate the Sobolev wavefront set for the causal propagator \(K_G\) of the Klein-Gordon equation in an ultrastatic spacetime when the regularity of the metric is \(C^\tau\) with \(\tau>2\) and \(C^{1,1}\). Our main tools are a propagation of singularities result for non-smooth pseudodifferential operators and eigenvalue asymptotics for elliptic operators of low regularity.

Keywords

    math.AP, math-ph, math.MP, 58J47

Cite this

The Sobolev Wavefront Set of the Causal Propagator in Finite Regularity. / Sanchez, Yafet Sanchez; Schrohe, Elmar.
2022.

Research output: Working paper/Preprint › Preprint

Sanchez YS, Schrohe E. The Sobolev Wavefront Set of the Causal Propagator in Finite Regularity. 2022 Mar 10. Epub 2022 Mar 10. doi: 10.48550/arXiv.2203.04362
Sanchez, Yafet Sanchez ; Schrohe, Elmar. / The Sobolev Wavefront Set of the Causal Propagator in Finite Regularity. 2022.
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