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

On the Asymptotics of Solutions of Elliptic Equations in a Neighborhood of a Crack with Nonsmooth... 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). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

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

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References (6)

Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2003.543
Publisher site
See Article on Publisher Site

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).

Journal

Georgian Mathematical Journal – de Gruyter

Published: Sep 1, 2003

Keywords: Asymptotics; solution of elliptic equation; crack; nonsmooth front; Dirichlet boundary value problem; divergent form

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