Geodesic
Anisotropic estimates of the Green function for a singularly perturbed two-dimensional monotone convection-diffusion equation operator and its applications
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 4, pp. 546-553 
V. B. Andreev. Anisotropic estimates of the Green function for a singularly perturbed two-dimensional monotone convection-diffusion equation operator and its applications. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 4, pp. 546-553. http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_4_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Kollatts L., Funktsionalnyi analiz i vychislitelnaya matematika, Mir, M., 1969

[2] Andreev V. B., Savin I. A., “O ravnomernoi po malomu parametru skhodimosti monotonnoi skhemy Samarskogo i ee modifikatsii”, Zh. vychisl. matem. i matem. fiz., 35:5 (1995), 739–752 | MR | Zbl

[3] Andreev V. B., “Funktsiya Grina i apriornye otsenki reshenii monotonnykh trekhtochechnykh singulyarno vozmuschennykh raznostnykh skhem”, Differents. ur-niya, 37:7 (2001), 880–890 | MR | Zbl

[4] Besov O. V., Ilin V. P., Nikolskii S. M., Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1975 | MR | Zbl

[5] Andreev V. B., Anisotropic estimates for the discrete Green's function of a monotone difference operator in the singularly perturbed case and its application, Preprint MATH-NM-06-2000, Inst. Numer. Math. Techn. Univ., Dresden, 2000

[6] Dörfler W., “Uniform a priori estimates for singularly perturbed elliptic equations in multidimensions”, SIAM J. Numer. Analys., 36:6 (1999), 1878–1900 | DOI | MR

[7] Lyusternik L. A., Sobolev V. I., Elementy funktsionalnogo analiza, Nauka, M., 1965 | MR