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Point estimates for Green's matrix to boundary value problems for second order elliptic systems in a polyhedral cone
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden Univ Rostock, Dept Math, D-18051 Rostock, Germany.
2002 (English)In: Zeitschrift für angewandte Mathematik und Mechanik, ISSN 0044-2267, E-ISSN 1521-4001, Vol. 82, no 5, 291-316 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we are concerned with boundary value problems for general second order elliptic equations and systems in a polyhedral cone. We obtain point estimates of Green's matrix in different areas of the cone. The proof of these estimates is essentially based on weighted L-2 estimates for weak solutions and their derivatives. As examples, we consider the Neumann problem to the Laplace equation and the Lame system.

Place, publisher, year, edition, pages
2002. Vol. 82, no 5, 291-316 p.
Keyword [en]
second order elliptic systems, Green's matrix, nonsmooth domains
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-48908OAI: oai:DiVA.org:liu-48908DiVA: diva2:269804
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-12

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Maz´ya, Vladimir G.

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