Asymptotics of the solution of Laplace's equation with mixed boundary conditions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 6, pp. 1064-1080 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
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A. A. Ershov. Asymptotics of the solution of Laplace's equation with mixed boundary conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 6, pp. 1064-1080. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_6_a8/

[1] Gadylshin R. R., “Rasscheplenie kratnogo sobstvennogo znacheniya v kraevoi zadache dlya membrany, zakreplennoi na malom uchastke granitsy”, Sibirskii matem. zhurnal, 34:3 (1993), 43–61 | MR

[2] Lavrentev M. A., Shabat B. V., Metody teorii funktsii kompleksnogo peremennogo, Nauka, M., 1973

[3] Ilin A. M., Soglasovanie asimptoticheskikh razlozhenii reshenii kraevykh zadach, Nauka, M., 1989

[4] Oleinik O. A., “Ob ustoichivosti zadachi Neimana”, Uspekhi matem. nauk, 11:1(67) (1956), 223–225 | MR

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

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