Geodesic
The regularized asymptotics in the singularly perturbed parabolic problem with angular boundary layers
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 4 (2007), pp. 103-112.

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A regularized asymptotics of solution for singulary perturbed parabolic problem is built in domains with corner points as a boundary. The asymptotics of such problems includes both ordinary boundary layer functions as parabolic boundary layer functions and their products, which descreibe corner boundary layer. 
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A. S. Omuraliev. The regularized asymptotics in the singularly perturbed parabolic problem with angular boundary layers. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 4 (2007), pp. 103-112. http://geodesic.mathdoc.fr/item/SEMR_2007_4_a6/

[1] Butuzov V. F., “Asimptotika reshenii nekotorykh modelnykh zadach khimicheskoi kinetiki s uchetom diffuzii”, DAN SSSR, 242:2 (1978), 268–271 | MR | Zbl

[2] Vasileva A. B., Butuzov V. F., Asimptoticheskie metody v teorii singulyarnykh vozmuschenii, Vysshaya shkola, Moskva, 1990 | MR

[3] Lomov S. A., Vvedenie v obschuyu teoriyu singulyarnykh vozmuschenii, Nauka, Moskva, 1981 | MR

[4] Omuraliev A. S., “Regulyarizovannaya asimpt. resheniya parabolicheskoi zadachi s dvumya vyazkimi granitsami”, Nauka i novye tekhnologii, 4, 1998, 22–25

[5] Isakova E. K., “Asimptoticheskoe razlozhenie resheniya parabolicheskogo uravneniya s malym parametrom”, Matem. sb., 69:3, 300–320 | MR | Zbl

[6] Ladyzhenskaya O. A. i dr., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, Moskva, 1967