Asymptotic representation of solutions to the Dirichlet problem for elliptic systems with discontinuous coefficients near the boundary
Date
2006-01-24
Authors
Kozlov, Vladimir
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
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.
Description
Keywords
Asymptotic behaviour of solutions, Elliptic systems, Dirichlet problem, Measurable coefficients
Citation
Kozlov, V. (2006). Asymptotic representation of solutions to the Dirichlet problem for elliptic systems with discontinuous coefficients near the boundary. <i>Electronic Journal of Differential Equations, 2006</i>(10), pp. 1-46.
Rights
Attribution 4.0 International