On Hofmann's bilinear estimate

Details On Hofmann's bilinear estimate On Hofmann's bilinear estimate

2008-12-17

arxiv.org/abs/0812.3216v3

Mathematics

Analysis of PDEs

updated incorporating suggestions of the referee. some refercences added. to appear in Math. Research Letters

Scientific paper

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.

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