Solvability of elliptic systems with square integrable boundary data
Date
2010
Authors
Auscher, Pascal
Axelsson, Andreas
McIntosh, Alan
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Royal Swedish Academy of Sciences
Abstract
We consider second order elliptic divergence form systems with complex measurable coefficients A that are independent of the transversal coordinate, and prove that the set of A for which the boundary value problem with L2 Dirichlet or Neumann data is well posed, is an open set. Furthermore we prove that these boundary value problems are well posed when A is either Hermitean, block or constant. Our methods apply to more general systems of partial differential equations and as an example we prove perturbation results for boundary value problems for differential forms.
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Arkiv foer Matematik
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Journal article
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2037-12-31
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