Geodesic
On the Structure of asymptotics of the solution of a second-order elliptic equation in a neighborhood of an angular point
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 1, pp. 98-111 
E. F. Lelikova. On the Structure of asymptotics of the solution of a second-order elliptic equation in a neighborhood of an angular point. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 1, pp. 98-111. http://geodesic.mathdoc.fr/item/TIMM_2008_14_1_a8/
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     title = {On the {Structure} of asymptotics of the solution of a~second-order elliptic equation in a~neighborhood of an angular point},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The behavior of solutions of elliptic equations in neighborhoods of angular and conical boundary points has been well studied; the asymptotics of these solutions has been constructed. In the present paper, we propose a new approach to constructing asymptotic decompositions in a neighborhood of an angular boundary point, which allows us to describe the structure of these asymptotics in a relatively simple and illustrative way.

[1] Volkov E. A., “O reshenii kraevykh zadach dlya uravneniya Puassona v pryamougolnike”, Dokl. AN SSSR, 147:1 (1963), 13–16

[2] Kondratev V. A., “Kraevye zadachi dlya ellipticheskikh uravnenii v konicheskikh oblastyakh”, Dokl. AN SSSR, 153:1 (1963), 27–29

[3] Eskin G. I., “Obschie kraevye zadachi dlya uravnenii glavnogo tipa v ploskosti s uglovymi tochkami”, Uspekhi mat. nauk, 18:3(111) (1963), 241–242 | MR

[4] Kondratev V. A., “Kraevye zadachi dlya ellipticheskikh uravnenii v oblastyakh s konicheskimi ili uglovymi tochkami”, Tr. Mosk. mat. ob-va, 16, 1967, 209–292