Non unique solutions to boundary value problems for non symmetric divergence form equations
2007 (Swedish)In: Transactions of the American Mathematical Society, ISSN 0002-9947Article in journal (Refereed) Published
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 coefficients with a jump discontinuity. It is shown that the boundary equation method and the Lax--Milgram method for constructing solutions may give two different solutions when the coefficients are sufficiently non symmetric.
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IdentifiersURN: urn:nbn:se:su:diva-20725OAI: oai:DiVA.org:su-20725DiVA: diva2:187251