The Kato square root problem for mixed boundary value problems

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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 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.
To appear in the Journal of the London Mathematical Society. This arxiv version is distinct from the final version

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Analysis of PDEs, Classical Analysis and ODEs, 35J25; 47B44; 47F05

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http://salesiana.dossiersoluciones.com/handle/123456789/100984

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412324
 http://arxiv.org/abs/math/0412324

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arXiv