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math.AP2007
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…
math.AP2007
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…