On a quadratic estimate related to the Kato conjecture and boundary value problems.
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)
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.
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IdentifiersURN: urn:nbn:se:su:diva-14866OAI: oai:DiVA.org:su-14866DiVA: diva2:181386