The Kato square root problem for mixed boundary value problems

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dc.creatorAxelsson, Andreas
dc.creatorKeith, Stephen
dc.creatorMcIntosh, Alan
dc.date2004-12-16
dc.date2005-10-24
dc.date.accessioned2026-07-07T06:39:11Z
dc.date.available2026-07-07T06:39:11Z
dc.descriptionWe solve the Kato square root problem for second order elliptic systems in divergence form under mixed boundary conditions on Lipschitz domains. This answers a question posed by J.-L. Lions in 1962. To do this we develop a general theory of quadratic estimates and functional calculi for complex perturbations of Dirac-type operators on Lipschitz domains.
dc.descriptionTo appear in the Journal of the London Mathematical Society. This arxiv version is distinct from the final version
dc.identifierhttps://arxiv.org/abs/math/0412324
dc.identifierhttp://arxiv.org/abs/math/0412324
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100984
dc.subjectAnalysis of PDEs
dc.subjectClassical Analysis and ODEs
dc.subject35J25; 47B44; 47F05
dc.titleThe Kato square root problem for mixed boundary value problems
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