Geodesic
On measurement of electrical conductivity
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 1004-1007 
A. A. Ershov. On measurement of electrical conductivity. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 1004-1007. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a12/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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

[1] Polyakov N. N., “Ob izmerenii koeffitsienta Kholla i elektroprovodimosti anizotropnykh provodnikov”, Zavodskaya laboratoriya, 1989, no. 3, 20–22

[2] Dmitriev A. V., Nauchnye osnovy razrabotki sposobov snizheniya udelnogo elektricheskogo soprotivleniya grafitirovannykh elektrodov, Izd-vo ChGPU, Chelyabinsk, 2005

[3] Ershov A. A., “Asimptotika resheniya zadachi Neimana s deltaobraznoi granichnoi funktsiei”, Zh. vychisl. matem. i matem. fiz., 50:3 (2010), 479–485 | MR | Zbl

[4] Ilin A. M., Danilin A. R., Asimptoticheskie metody v analize, Fizmatlit, M., 2008