Asymptotics of a Singular Solution to the Dirichlet Problem for an Elliptic Equation with Discontinuous Coefficients Near the Boundary

Vladimir Kozlov () and Vladimir Maz’ya ()
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Vladimir Kozlov: Linköping University, Department of Mathematics
Vladimir Maz’ya: Linköping University, Department of Mathematics

A chapter in Function Spaces, Differential Operators and Nonlinear Analysis, 2003, pp 75-115 from Springer

Abstract: 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.

Keywords: Elliptic Equation; Vector Function; Dirichlet Problem; Asymptotic Formula; Singular Solution (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-8035-0_5

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DOI: 10.1007/978-3-0348-8035-0_5

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