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On a quadratic estimate related to the Kato conjecture and boundary value problems.
Stockholm University, Faculty of Science, Department of Mathematics.
2008 (English)In: Proceedings from the 8th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial, Spain, June 16-20, 2008., 2008Conference paper (Other academic)
Abstract [en]

We provide a direct proof of a quadratic estimate that plays a central role in the determination of domains of square roots of elliptic operators and, as shown more recently, in some boundary value problems with $L^2$ boundary data. We develop the application to the Kato conjecture and to a Neumann problem. This quadratic estimate enjoys some equivalent forms in various settings. This gives new results in the functional calculus of Dirac type operators on forms.

Place, publisher, year, edition, pages
URN: urn:nbn:se:su:diva-14866OAI: diva2:181386
Available from: 2008-11-06 Created: 2008-11-06Bibliographically approved

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Axelsson, Andreas
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