2 citations · 2 across the 5 of their papers we have counts for
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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This paper has been withdrawn, and is replaced with paper "Solvability of elliptic systems with square integrable boundary data" by the same authors.
Non unique solutions to boundary value problems for non symmetric divergence form equations
Andreas Axelsson
We calculate explicitly solutions to the Dirichlet and Neumann boundary value problems in the upper half plane, for a family of divergence form equations with non symmetric coeffic…
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…
The Kato square root problem for mixed boundary value problems
Andreas Axelsson, Stephen Keith, Alan McIntosh
We solve the Kato square root problem for second order elliptic systems in divergence form under mixed boundary conditions on Lipschitz domains. This answers a question posed by J.…