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Local Smoothing Estimates near a Trapped...

Christianson, Hans...

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Local Smoothing Estimates near a Trapped Set with Infinitely Many Connected Components by Christianson, Hans ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	We prove a local smoothing result for the Schr\"odinger equation on a class of surfaces of revolution which have infinitely many trapped geodesics. Our main result is a local smoothing estimate with loss (compared to \cite{ChMe-lsm}) depending on the accumulation rate of the critical points of the profile curve. The proof uses an h-dependent version of semiclassical propagation of singularities, and a result on gluing an h-dependent number of cutoff resolvent estimates.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1412.6389

Citation

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AMA 11th EditionReferences

Christianson, Hans. Local Smoothing Estimates near a Trapped Set with Infinitely Many Connected Components. Australian National University. September 06, 2023. Accessed November 01, 2024. https://online.provdatabase.com/cite/24099

APA 7th EditionReferences

Christianson, Hans. (2023). Local Smoothing Estimates near a Trapped Set with Infinitely Many Connected Components. Australian National University. https://online.provdatabase.com/cite/24099

Chicago 17th EditionReferences

Christianson, Hans. Local Smoothing Estimates near a Trapped Set with Infinitely Many Connected Components. Australian National University. 2023. https://online.provdatabase.com/cite/24099

HarvardReferences

Christianson, Hans. (2023). Local Smoothing Estimates near a Trapped Set with Infinitely Many Connected Components. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/24099. (Accessed 01 November 2024).

Harvard AustraliaReferences

Christianson, Hans, 2023, Local Smoothing Estimates near a Trapped Set with Infinitely Many Connected Components, Australian National University, viewed 01 November 2024, <https://online.provdatabase.com/cite/24099>

MLA 9th EditionWorks Cited

Christianson, Hans. Local Smoothing Estimates near a Trapped Set with Infinitely Many Connected Components. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/24099.

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