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Solvability of elliptic systems with square integrable boundary data.
Stockholm University, Faculty of Science, Department of Mathematics. Matematik.
2008 (English)Other (Other academic)
Abstract [en]

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 $L_2$ 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 PDEs and as an example we prove perturbation

results for boundary value problems for differential forms.

Place, publisher, year, pages
2008. , p. 26
Identifiers
URN: urn:nbn:se:su:diva-14864OAI: oai:DiVA.org:su-14864DiVA, id: diva2:181384
Available from: 2008-11-06 Created: 2008-11-06Bibliographically approved

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http://Preprint arXiv:0809.4968v1 [math.AP].

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