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Uniform asymptotic approximations of Greens functions in a long rod
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
University of Liverpool.
2008 (English)In: Mathematical methods in the applied sciences, ISSN 0170-4214, Vol. 31, no 17, 2055-2068 p.Article in journal (Refereed) Published
Abstract [en]

Asymptotic approximations for Greens function for the operator -Delta in a long rod are derived. These approximations are uniformly valid over the whole domain including the end regions of the rod. Connections are established between the asymptotic approximations in a long rod and the asymptotics in thin domains. Overview of asymptotic approximations of Greens kernels in a domain with a small hole and domains with singularly perturbed smooth or conical boundaries is also given.

Place, publisher, year, edition, pages
2008. Vol. 31, no 17, 2055-2068 p.
Keyword [en]
uniform asymptotic approximations of Greens functions, singular perturbations
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-16102DOI: 10.1002/mma.1006OAI: oai:DiVA.org:liu-16102DiVA: diva2:133177
Available from: 2009-01-08 Created: 2009-01-07 Last updated: 2009-04-28

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G. Maz'ya, Vladimir

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