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The Kato Square Root Problem follows fro...

Egert, Moritz...

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The Kato Square Root Problem follows from an Extrapolation Property of the Laplacian by Egert, Moritz ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	04-08-2023
Summary	On a domain $\Omega \subseteq \mathbb{R}^d$ we consider second order elliptic systems in divergence form with bounded complex coefficients, realized via a sesquilinear form with domain $V \subseteq H^1(\Omega)$. Under very mild assumptions on $\Omega$ and $V$ we show that the Kato Square Root Problem for such systems can be reduced to a regularity result for the fractional powers of the negative Laplacian in the same geometric setting. This extends an earlier result of McIntosh to non-smooth coefficients.
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/1311.0301

Citation

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AMA 11th EditionReferences

Egert, Moritz. The Kato Square Root Problem follows from an Extrapolation Property of the Laplacian. Australian National University. August 04, 2023. Accessed November 10, 2024. https://online.provdatabase.com/cite/10730

APA 7th EditionReferences

Egert, Moritz. (2023). The Kato Square Root Problem follows from an Extrapolation Property of the Laplacian. Australian National University. https://online.provdatabase.com/cite/10730

Chicago 17th EditionReferences

Egert, Moritz. The Kato Square Root Problem follows from an Extrapolation Property of the Laplacian. Australian National University. 2023. https://online.provdatabase.com/cite/10730

HarvardReferences

Egert, Moritz. (2023). The Kato Square Root Problem follows from an Extrapolation Property of the Laplacian. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/10730. (Accessed 10 November 2024).

Harvard AustraliaReferences

Egert, Moritz, 2023, The Kato Square Root Problem follows from an Extrapolation Property of the Laplacian, Australian National University, viewed 10 November 2024, <https://online.provdatabase.com/cite/10730>

MLA 9th EditionWorks Cited

Egert, Moritz. The Kato Square Root Problem follows from an Extrapolation Property of the Laplacian. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/10730.

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