On the Asymptotics of Solutions of Elliptic Equations in a Neighborhood of a Crack with Nonsmooth Front

V. A. Kondrat'ev; V. A. Nikishkin

doi:10.1515/GMJ.2003.543

Published by De Gruyter March 10, 2010

On the Asymptotics of Solutions of Elliptic Equations in a Neighborhood of a Crack with Nonsmooth Front

V. A. Kondrat'ev and V. A. Nikishkin

From the journal Georgian Mathematical Journal

https://doi.org/10.1515/GMJ.2003.543

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Abstract

Two terms of asymptotics near crack are obtained for solutions of the Dirichlet boundary value problem for second-order elliptic equations in divergent form. The front of a crack is from 𝐶^1+𝑠 and the coefficients of the equations belong to 𝐶^𝑠 (0.5 < 𝑠 < 1).

Key words and phrases:: Asymptotics; solution of elliptic equation; crack; nonsmooth front; Dirichlet boundary value problem; divergent form

Received: 2003-03-27

Published Online: 2010-03-10

Published in Print: 2003-September

On the Asymptotics of Solutions of Elliptic Equations in a Neighborhood of a Crack with Nonsmooth Front

Abstract

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