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PreprintarXiv licencearXiv

Hypoellipticity on time-periodic space-times

  • Sandro Coriasco
  • Perry Kleinhenz
  • Jared Wunsch
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Abstract

We study the hypoellipticity of operators on a product type Lorentzian manifold where the time variable is periodic. In particular, we prove that hypoellipticity holds for such time-periodic equations, with a stronger estimate when the mass parameter or time period lies outside a set of arbitrarily small measure. We consider both compact and noncompact spatial manifolds and provide explicit examples involving the wave operator. The proof relies on a Fourier series decomposition and asymptotics for eigenvalue counting functions.

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Cite

BibTeXRIS
BibTeX
@misc{coriasco2026hypoellipticity,
  title = {{Hypoellipticity on time-periodic space-times}},
  author = {Sandro Coriasco and Perry Kleinhenz and Jared Wunsch},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.01774},
  eprint = {2609.01774},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.01774},
}
RIS
TY  - UNPB
TI  - Hypoellipticity on time-periodic space-times
AU  - Sandro Coriasco
AU  - Perry Kleinhenz
AU  - Jared Wunsch
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.01774
UR  - https://arxiv.org/abs/2609.01774
AB  - We study the hypoellipticity of operators on a product type Lorentzian manifold where the time variable is periodic. In particular, we prove that hypoellipticity holds for such time-periodic equations, with a stronger estimate when the mass parameter or time period lies outside a set of arbitrarily small measure. We consider both compact and noncompact spatial manifolds and provide explicit examples involving the wave operator. The proof relies on a Fourier series decomposition and asymptotics for eigenvalue counting functions.
ER  -