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

Vladimir Kozlov,Vladimir Maz’ya

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

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

Vladimir Kozlov, Vladimir Maz’ya

https://doi.org/10.1007/978-3-0348-8035-0_5

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Publication Date: Jan 1, 2003

Citations: 18

Affiliation: Linköping University

#Dirichlet Problem For Elliptic Equation #Discontinuous Coefficients + Show 8 more

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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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