Geodesic
The asymptotic form of the solution of an elliptic equation with the singularly perturbed boundary condition
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 34 (1994) no. 11, pp. 1718-1723 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. V. Nesterov. The asymptotic form of the solution of an elliptic equation with the singularly perturbed boundary condition. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 34 (1994) no. 11, pp. 1718-1723. http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_11_a13/

[1] Vishik M. I., Lyusternik L. A., “Regulyarnoe vyrozhdenie i pogranichnyi sloi dlya lineinykh differentsialnykh uravnenii s malym parametrom”, Uspekhi matem. nauk, 12:5(77) (1957), 3–122 | MR | Zbl

[2] Butuzov V. F., “Asimptotika resheniya uravneniya $\mu^2\Delta u-k^2(x,y)u=f(x,y)$ v pryamougolnoi oblasti”, Differents. ur-niya, 9:9 (1973), 1654–1660 | MR | Zbl

[3] Nesterov A. V., “Ob asimptotike resheniya parabolicheskogo uravneniya s singulyarno vozmuschennym kraevym usloviem”, Zh. vychisl. matem. i matem. fiz., 31:9 (1991), 1320–1327 | MR | Zbl

[4] Babich V. M., Buldyrev V. S., Asimptoticheskie metody v zadachakh difraktsii korotkikh voln, Nauka, M., 1972 | MR

[5] Dobrokhotov S. Yu., Maslov V. P., “Mnogomernye ryady Dirikhle v zadache ob asimptotike spektralnykh serii nelineinykh ellipticheskikh operatorov”, Sovrem. probl. matem., 23, 1983, 137–220 | MR

[6] Ilin A. M., Soglasovanie asimptoticheskikh razlozhenii reshenii kraevykh zadach, Nauka, M., 1989 | MR