129 citations · 240 across the 19 of their papers we have counts for
21 papers
Hodge-Dirac, Hodge-Laplacian and Hodge-Stokes operators in L^p spaces on Lipschitz domains
Alan Mcintosh, Sylvie Monniaux
This paper concerns Hodge-Dirac operators D = d + acting in L p (, λ) where is a bounded open subset of R n satisfying some kind of Lipschitz condition, λ is the exterio…
Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of the metric
Lashi Bandara, Alan McIntosh, Andreas Rosén
We prove that the Atiyah-Singer Dirac operator in depends Riesz continuously on perturbations of complete metrics $…
Conical square function estimates and functional calculi for perturbed Hodge-Dirac operators in L^p
Dorothee Frey, Alan McIntosh, Pierre Portal
Perturbed Hodge-Dirac operators and their holomorphic functional calculi, as investigated in the papers by Axelsson, Keith and the second author, provided insight into the solution…
Calderon Reproducing Formulas and Applications to Hardy Spaces
Pascal Auscher, Alan McIntosh, Andrew Morris
We establish new Calderón reproducing formulas for self-adjoint operators that generate strongly continuous groups with finite propagation speed. These formulas allow the analy…
On Solvability of BVPs for elliptic systems
Pascal Auscher, Alan McIntosh, Mihalis Mourgoglou
In this article we prove solvability results for boundary value problems of some elliptic systems on the upper half-space , with transversally in…
Square roots of perturbed subelliptic operators on Lie groups
Lashi Bandara, A. F. M. ter Elst, Alan McIntosh
We solve the Kato square root problem for bounded measurable perturbations of subelliptic operators on connected Lie groups. The subelliptic operators are divergence form operators…