Abstract
We consider the Dirichlet problem for elliptic equations of arbitrary order and prove an asymptotic formula for a singular solution near a boundary point. The only a priori assumption on the coefficients of the principal part of the equation is the smallness of the local oscillation near the point.
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References
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Kozlov, V., Maz’ya, V. (2003). Asymptotics of a Singular Solution to the Dirichlet Problem for an Elliptic Equation with Discontinuous Coefficients Near the Boundary. In: Haroske, D., Runst, T., Schmeisser, HJ. (eds) Function Spaces, Differential Operators and Nonlinear Analysis. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8035-0_5
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DOI: https://doi.org/10.1007/978-3-0348-8035-0_5
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9414-2
Online ISBN: 978-3-0348-8035-0
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