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NON-UNIQUE SOLUTIONS TO BOUNDARY VALUE PROBLEMS FOR NON-SYMMETRIC DIVERGENCE FORM EQUATIONS
Stockholm University, Faculty of Science, Department of Mathematics.
2010 (English)In: Transactions of the American Mathematical Society, ISSN 0002-9947, E-ISSN 1088-6850, Vol. 362, no 2, 661-672 p.Article in journal (Refereed) Published
Abstract [en]

We calculate explicitly solutions to the Dirichlet and Neumann boundary value problems in the upper half plane, for a family of divergence form equations having 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.

Place, publisher, year, edition, pages
2010. Vol. 362, no 2, 661-672 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-49120ISI: 000274739600005OAI: oai:DiVA.org:su-49120DiVA: diva2:376470
Note
authorCount :1Available from: 2010-12-10 Created: 2010-12-10 Last updated: 2017-12-11Bibliographically approved

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