Geodesic
Asymptotic behavior of the solution of the Neumann problem with a delta-like boundary function
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 3, pp. 479-485 
A. A. Ershov. Asymptotic behavior of the solution of the Neumann problem with a delta-like boundary function. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 3, pp. 479-485. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_3_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A uniform asymptotic expansion is found for the integral $\iint_S\nabla^2 u\, dx\,dy$, where $u$ is the solution of the Neumann problem with a delta-function-like derivative on the boundary. A physics application of the result is discussed.

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