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Weighted Lp estimates of solutions to boundary value problems for second order elliptic systems in polyhedral domains
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
Roßmann, J., University of Rostock, Dept. of Mathematics, 18051 Rostock, Germany.
2003 (English)In: Zeitschrift für angewandte Mathematik und Mechanik, ISSN 0044-2267, E-ISSN 1521-4001, Vol. 83, no 7, 435-467 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 domain. We consider solutions in weighted Lp Sobolev spaces. A special section is dedicated to weak solutions. We prove solvability theorems and regularity assertions for the solutions. © 2003 WILEY-VCH Verlag GmbH & Co. KGaA.

Place, publisher, year, edition, pages
2003. Vol. 83, no 7, 435-467 p.
Keyword [en]
Green's matrix, Nonsmooth domains, Second order elliptic systems
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-46374DOI: 10.1002/zamm.200310041OAI: oai:DiVA.org:liu-46374DiVA: diva2:267270
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-13

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Maz´ya, Vladimir G.

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