101 citations · 246 across the 12 of their papers we have counts for
12 papers
Weighted maximal regularity estimates and solvability of non-smooth elliptic systems II
Pascal Auscher, Andreas Rosén
We continue the development, by reduction to a first order system for the conormal gradient, of \textit{a priori} estimates and solvability for boundary value problems of Dir…
Remarks on maximal regularity
Pascal Auscher, Andreas Axelsson
We prove weighted estimates for the maximal regularity operator. Such estimates were motivated by boundary value problems. We take this opportunity to study a class of weak solutio…
Weighted maximal regularity estimates and solvability of non-smooth elliptic systems I
Pascal Auscher, Andreas Axelsson
We develop new solvability methods for divergence form second order, real and complex, elliptic systems above Lipschitz graphs, with boundary data. The coefficients may d…
On a quadratic estimate related to the Kato conjecture and boundary value problems
Pascal Auscher, Andreas Axelsson, Alan McIntosh
We provide a direct proof of a quadratic estimate that plays a central role in the determination of domains of square roots of elliptic operators and, as shown more recently, in so…
Solvability of elliptic systems with square integrable boundary data
Pascal Auscher, Andreas Axelsson, Alan McIntosh
We consider second order elliptic divergence form systems with complex measurable coefficients that are independent of the transversal coordinate, and prove that the set of …
Hilbert transforms and the Cauchy integral in euclidean space
Andreas Axelsson, Kit Ian Kou, Tao Qian
We generalize the notion of harmonic conjugate functions and Hilbert transforms to higher dimensional euclidean spaces, in the setting of differential forms and the Hodge-Dirac sys…