On a quadratic estimate related to the Kato conjecture and boundary value problems

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dc.creatorAuscher, Pascal
dc.creatorAxelsson, Andreas
dc.creatorMcIntosh, Alan
dc.date2008-10-17
dc.date2009-05-17
dc.date.accessioned2026-07-07T13:15:23Z
dc.date.available2026-07-07T13:15:23Z
dc.descriptionWe 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.
dc.descriptionText of the lectures given at the El Escorial 2008 conference. Revised after the suggestions of the referee. Some historical material added. A short proof of the main result added under a further assumption. To appear in the Proceedings
dc.identifierhttps://arxiv.org/abs/0810.3071
dc.identifierhttp://arxiv.org/abs/0810.3071
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230455
dc.subjectClassical Analysis and ODEs
dc.subjectAnalysis of PDEs
dc.subjectFunctional Analysis
dc.subject35J25, 35J55, 47N20, 47F05, 42B25
dc.titleOn a quadratic estimate related to the Kato conjecture and boundary value problems
dc.typetext

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