On Hofmann's bilinear estimate
Analysis of PDEs
2009-05-18 v3 Classical Analysis and ODEs
Functional Analysis
Abstract
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.
Cite
@article{arxiv.0812.3216,
title = {On Hofmann's bilinear estimate},
author = {Pascal Auscher},
journal= {arXiv preprint arXiv:0812.3216},
year = {2009}
}
Comments
updated incorporating suggestions of the referee. some refercences added. to appear in Math. Research Letters