This article is cited in 9 papers

Asymptotics of the solution of Laplace's equation with mixed boundary conditions

A. A. Ershov

Chelyabinsk State University, ul. Brat'ev Kashirinykh 129, Chelyabinsk, 454136 Russia

Abstract: A uniform asymptotic expansion of the solution of a two-dimensional elliptic problem with mixed boundary conditions is found. A physical application of the result is discussed.

Key words: boundary value problem for Laplace's equation, asymptotic expansion of the solution, mixed boundary conditions.

UDC: 519.63

Received: 18.10.2010
Revised: 03.11.2010

 English version: Computational Mathematics and Mathematical Physics, 2011, 51:6, 994–1010

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