On Hofmann's bilinear estimate

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Using the framework of a previous article joint with Axelsson and McIntosh, we extend to systems two results of S. Hofmann for real symmetric equations and their perturbations going back to a work of B. Dahlberg for Laplace's equation on Lipschitz domains, The first one is a certain bilinear estimate for a class of weak solutions and the second is a criterion which allows to identify the domain of the generator of the semi-group yielding such solutions.
updated incorporating suggestions of the referee. some refercences added. to appear in Math. Research Letters

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Analysis of PDEs, Classical Analysis and ODEs, Functional Analysis, 35J25, 35J55, 47N20, 42B25

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http://salesiana.dossiersoluciones.com/handle/123456789/230467

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.3216
 http://arxiv.org/abs/0812.3216

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arXiv