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Uniform asymptotic formulae for Green's kernels in regularly and singularly perturbed domains
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
Department of Mathematical Sciences, University of Liverpool, Liverpool, L69 3BX, United Kingdom.
2006 (English)In: Comptes rendus. Mathematique, ISSN 1631-073X, Vol. 343, no 3, 185-190 p.Article in journal (Refereed) Published
Abstract [en]

Asymptotic formulae for Green's kernels Ge (x, y) of various boundary value problems for the Laplace operator are obtained in regularly perturbed domains and certain domains with small singular perturbations of the boundary, as e ? 0. The main new feature of these asymptotic formulae is their uniformity with respect to the independent variables x and y. To cite this article: V. Maz'ya, A. Movchan, C. R. Acad. Sci. Paris, Ser. I 343 (2006). © 2006 Académie des sciences.

Place, publisher, year, edition, pages
2006. Vol. 343, no 3, 185-190 p.
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-50160DOI: 10.1016/j.crma.2006.05.015OAI: diva2:271056
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2011-01-11

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Maz´ya, Vladimir G.
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