Weighted maximal regularity estimates and solvability of non-smooth elliptic systems I

We develop new solvability methods for divergence form second order, real and complex, elliptic systems above Lipschitz graphs, with L 2 boundary data. The coefficients A may depend on all variables, but are assumed to be close to coefficients A 0 that are independent of the coordinate transversal t...

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Bibliographic Details
Published in:	Inventiones mathematicae Vol. 184; no. 1; pp. 47 - 115
Main Authors:	Auscher, Pascal, Axelsson, Andreas
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer-Verlag 01.04.2011 Springer Nature B.V Springer Verlag
Subjects:	Analysis of PDEs Carleson measure Dirichlet and Neumann problems elliptic systems Functional Analysis functional and operational calculus MATEMATIK MATHEMATICS Mathematics and Statistics maximal regularity non-tangential maximal function square function Neumann Problem Dirichlet Problem Elliptic System Functional Calculus Operational Calculus Elliptic systems Square function Carleson measure Functional and operational calculus Dirichlet and Neumann problems Maximal regularity Non-tangential maximal function
ISSN:	0020-9910, 1432-1297, 1432-1297
Online Access:	Get full text
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