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Increasing stability of the continuation...

Isakov, Victor...

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Increasing stability of the continuation for general elliptic equations of second order by Isakov, Victor ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	01-09-2023
Summary	We give stability estimates in the Cauchy problem for general partial differential equation of the elliptic type similar to the Helmholtz equation. We do not impose any (pseudo)convexity assumptions on the domain or the operator. These conditional stability estimates are getting close to Lipschitz ones when the wave number/frequency is growing. We split solution into low and high frequency parts and impose constraints on the high frequency part only. We give logarithmic bounds on this high frequency part. Proofs use energy estimates and the FBI transform.
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/1312.7600

Citation

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AMA 11th EditionReferences

Isakov, Victor. Increasing stability of the continuation for general elliptic equations of second order. Australian National University. September 01, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/22985

APA 7th EditionReferences

Isakov, Victor. (2023). Increasing stability of the continuation for general elliptic equations of second order. Australian National University. https://online.provdatabase.com/cite/22985

Chicago 17th EditionReferences

Isakov, Victor. Increasing stability of the continuation for general elliptic equations of second order. Australian National University. 2023. https://online.provdatabase.com/cite/22985

HarvardReferences

Isakov, Victor. (2023). Increasing stability of the continuation for general elliptic equations of second order. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/22985. (Accessed 20 September 2024).

Harvard AustraliaReferences

Isakov, Victor, 2023, Increasing stability of the continuation for general elliptic equations of second order, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/22985>

MLA 9th EditionWorks Cited

Isakov, Victor. Increasing stability of the continuation for general elliptic equations of second order. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/22985.

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