|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'585
Articles rated: 2609
24 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Wave propagation on Euclidean surfaces with conical singularities. I: Geometric diffraction | | G. Austin Ford
; Andrew Hassell
; Luc Hillairet
; | | Date: |
5 May 2015 | | Abstract: | We investigate the singularities of the trace of the half-wave group,
$mathrm{Tr} , e^{-itsqrtDelta}$, on Euclidean surfaces with conical
singularities $(X,g)$. We compute the leading-order singularity associated to
periodic orbits with successive degenerate diffractions. This result extends
the previous work of the third author cite{Hil} and the two-dimensional case
of the work of the first author and Wunsch cite{ForWun} as well as the seminal
result of Duistermaat and Guillemin cite{DuiGui} in the smooth setting. As an
intermediate step, we identify the wave propagators on $X$ as singular Fourier
integral operators associated to intersecting Lagrangian submanifolds,
originally developed by Melrose and Uhlmann cite{MelUhl}. | | Source: | arXiv, 1505.1043 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER