Maximal parabolic regularity for divergence operators including mixed boundary conditions

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We show that elliptic second order operators $A$ of divergence type fulfill maximal parabolic regularity on distribution spaces, even if the underlying domain is highly non-smooth, the coefficients of $A$ are discontinuous and $A$ is complemented with mixed boundary conditions. Applications to quasilinear parabolic equations with non-smooth data are presented.
39 pages, 4 postscript figures

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Analysis of PDEs, 35A05, 35B65 (Primary), 35K15, 35K20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/221945

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.0239
 http://arxiv.org/abs/0903.0239

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arXiv