Geodesic
Operator estimation of homogenizstion for generalized Beltrami equations
Daghestan Electronic Mathematical Reports, Tome 7 (2017), pp. 40-46.

Voir la notice de l'article provenant de la source Math-Net.Ru

Operator estimates for homogenization of the Riemann-Hilbert problem for the generalized Beltrami equation with rapidly oscillating $\varepsilon$-periodic coefficients are considered. Asymptotic methods of homogenization are used.
Keywords: Beltrami equation, homogenization, method of asimptotic expansions. 
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M. M. Sirazhudinov. Operator estimation of homogenizstion for generalized Beltrami equations. Daghestan Electronic Mathematical Reports, Tome 7 (2017), pp. 40-46. http://geodesic.mathdoc.fr/item/DEMR_2017_7_a3/

[1] Zhikov V.V., Kozlov S.M., Oleinik O.A., Usrednenie differentsialnykh operatorov, Nauka, M., 1993 | MR

[2] Birman M.Sh., Suslina T.A., “Periodicheskie differentsialnye operatory vtorogo poryadka. Porogovye svoistva i usredneniya”, Algebra i analiz, 15:5 (2003), 1–108

[3] Zhikov V.V., “Ob operatornykh otsenkakh v teorii usredneniya”, Doklady RAN, 403:3 (2005), 305–308 | MR | Zbl

[4] Zhikov V.V., Pastukhova V.V., “Ob operatornykh otsenkakh v teorii usredneniya”, Uspekhi matem. nauk, 71:3 (2016), 64–73

[5] Vekua I.N., Obobschennye analiticheskie funktsii, Nauka, M., 1988

[6] Sirazhudinov M.M., “O G-skhodimosti i usrednenii obobschennykh operatorov Beltrami”, Matem. sb., 199:5 (2008), 124–155 | DOI | MR

[7] Sirazhudinov M.M., Sirazhudinov R.M., “O G-skhodimosti sistem obobschennykh operatorov Beltrami”, Trudy MIAN, 121, 2008, 268–276 | MR

[8] Sirazhudinov M.M., “O G–kompaktnosti odnogo klassa ellipticheskikh sistem pervogo poryadka”, Diff. uravn., 26:2 (1990), 298–305 | MR

[9] Sirazhudinov M.M., “O kraevoi zadache Rimana–Gilberta”, Diff. uravn., 25:8 (1989), 1400–1406 | MR | Zbl

[10] Sirazhudinov M.M., “Asimptoticheskii metod usredneniya obobschennykh operatorov Beltrami”, Matem. sb., 208:4 (2017), 87–110 | DOI | MR | Zbl