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Asymptotic representation of solutions to the Dirichlet problem for elliptic systems with discontinuous coefficients near the boundary
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2006 (English)In: Electronic Journal of Differential Equations, ISSN 1072-6691, Vol. 2006Article in journal (Refereed) Published
Abstract [en]

We consider variational solutions to the Dirichlet problem for elliptic systems of arbitrary order. It is assumed that the coefficients of the principal part of the system have small, in an integral sense, local oscillations near a boundary point and other coefficients may have singularities at this point. We obtain an asymptotic representation for these solutions and derive sharp estimates for them which explicitly contain information on the coefficients. ©2006 Texas State University - San Marcos.

Place, publisher, year, edition, pages
2006. Vol. 2006
National Category
URN: urn:nbn:se:liu:diva-41013Local ID: 54928OAI: diva2:261863
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2011-01-11

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Kozlov, Vladimir
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