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Dispersion for the wave equation inside ...

Ivanovici, Oana...

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Dispersion for the wave equation inside strictly convex domains II: the general case by Ivanovici, Oana ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	27-05-2016
Summary	We consider the wave equation on a manifold (Ω,g) of dimension d≥2 with smooth strictly convex boundary ∂Ω≠∅, with Dirichlet boundary conditions. We construct a sharp local in time parametrix and then proceed to obtain dispersion estimates: our fixed time decay rate for the Green function exhibits a t1/4 loss with respect to the boundary less case. We precisely describe where and when these losses occur and relate them to swallowtail type singularities in the wave front set, proving that our decay is optimal. Moreover, we derive better than expected Strichartz estimates, balancing lossy long time estimates at a given incidence with short time ones with no loss: for d=3, it heuristically means that, on average the decay loss is only t1/6.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1605.08800

Citation

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AMA 11th EditionReferences

Ivanovici, Oana. Dispersion for the wave equation inside strictly convex domains II: the general case. N.A. May 27, 2016. Accessed September 20, 2024. https://online.provdatabase.com/cite/22855

APA 7th EditionReferences

Ivanovici, Oana. (2016). Dispersion for the wave equation inside strictly convex domains II: the general case. N.A. https://online.provdatabase.com/cite/22855

Chicago 17th EditionReferences

Ivanovici, Oana. Dispersion for the wave equation inside strictly convex domains II: the general case. N.A. 2016. https://online.provdatabase.com/cite/22855

HarvardReferences

Ivanovici, Oana. (2016). Dispersion for the wave equation inside strictly convex domains II: the general case. [Online]. N.A. Available from: https://online.provdatabase.com/cite/22855. (Accessed 20 September 2024).

Harvard AustraliaReferences

Ivanovici, Oana, 2016, Dispersion for the wave equation inside strictly convex domains II: the general case, N.A, viewed 20 September 2024, <https://online.provdatabase.com/cite/22855>

MLA 9th EditionWorks Cited

Ivanovici, Oana. Dispersion for the wave equation inside strictly convex domains II: the general case. N.A, 2016. PROV Database, https://online.provdatabase.com/cite/22855.

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