57 citations · 57 across the 3 of their papers we have counts for
4 papers · 1 filter
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 …
A new approach to solvability of some elliptic pde's with square integrable boundary data
Pascal Auscher, Andreas Axelsson, Alan McIntosh
This paper has been withdrawn, and is replaced with paper "Solvability of elliptic systems with square integrable boundary data" by the same authors.
Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems
Pascal Auscher, Andreas Axelsson, Steve Hofmann
We prove that the Neumann, Dirichlet and regularity problems for divergence form elliptic equations in the half space are well posed in for small complex perturbat…
Riesz transform on manifolds and heat kernel regularity
Pascal Auscher, Thierry Coulhon, Xuan Thinh Duong +1
One considers the class of complete non-compact Riemannian manifolds whose heat kernel satisfies Gaussian estimates from above and below. One shows that the Riesz transform is $L^p…