The Kato square root problem for mixed boundary value problems

• Autores: Andreas Axelsson, Stephen Keith, Alan McIntosh
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 74, Nº 1, 2006, págs. 113-130
• Idioma: inglés
• DOI: 10.1112/s0024610706022873
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• Resumen

  • We 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 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.