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Solvability of elliptic systems with square integrable boundary data

Auscher, Pascal; Axelsson, Andreas; McIntosh, Alan

Description

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...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
URI: http://hdl.handle.net/1885/25263
Source: Arkiv foer Matematik
DOI: 10.1007/s11512-009-0108-2

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