Geodesic
Operator-type estimates in homogenization of elliptic equations with lower terms
Algebra i analiz, Tome 29 (2017) no. 5, pp. 179-207.

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

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}
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S. E. Pastukhova; R. N. Tikhomirov. Operator-type estimates in homogenization of elliptic equations with lower terms. Algebra i analiz, Tome 29 (2017) no. 5, pp. 179-207. http://geodesic.mathdoc.fr/item/AA_2017_29_5_a5/

[1] Bensoussan A., Lions J. L., Papanicolaou G., Asymptotic analysis for periodic structures, Stud. Math. Appl., 5, North Holland Publ. Co., Amsterdam, 1978 | MR | Zbl

[2] Bakhvalov N. C., Panasenko G. P., Osrednenie protsessov v periodicheskikh sredakh, Nauka, M., 1984 | MR

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

[4] Zhikov V. V., “Spektralnyi podkhod k asimptoticheskim zadacham diffuzii”, Differents. uravneniya, 25:1 (1989), 44–50 | MR | Zbl

[5] Zhikov V. V., Pastukhova S. E., “Ob operatornykh otsenkakh v teorii usredneniya”, Uspekhi mat. nauk, 71:3 (2016), 27–122 | DOI | MR | Zbl

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

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

[8] Zhikov V. V., Pastukhova S. E., “On operator estimates for some problems in homogenization theory”, Russ. J. Math. Phys., 12:4 (2005), 515–524 | MR | Zbl

[9] Ladyzhenskaya O. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1964 | MR

[10] Zhikov V. V., Pastukhova S. E., “Usrednenie vyrozhdayuschikhsya ellipticheskikh uravnenii”, Sib. mat. zh., 49:1 (2008), 101–124 | MR | Zbl

[11] Suslina T. A., “Usrednenie v klasse Soboleva $H^1(\mathbb R^d)$ dlya periodicheskikh ellipticheskikh differentsialnykh operatorov vtorogo poryadka pri vklyuchenii chlenov pervogo poryadka”, Algebra i analiz, 22:1 (2010), 108–222 | MR | Zbl

[12] Meshkova Yu. M., Suslina T. A., “Two-parametric error estimates in homogenization of second-order elliptic systems in $\mathbb R^d$”, Appl. Anal., 95:7 (2016), 1413–1448 | DOI | MR | Zbl

[13] Pastukhova S. E., “Estimates in homogenization of higher-order elliptic operators”, Appl. Anal., 95:7 (2016), 1449–1466 | DOI | MR | Zbl

[14] Pastukhova S. E., “Priblizheniya rezolventy dlya nesamosopryazhennogo operatora diffuzii s bystro ostsilliruyuschimi koeffitsientami”, Mat. zametki, 94:1 (2013), 130–150 | DOI | MR | Zbl

[15] Senik N. N., “Homogenization for non-self-adjoint periodic elliptic operators on an infinite cylinder”, SIAM J. Math. Anal., 49 (2017), 874–898 ; (2015), arXiv: 1508.04963[math.AP] | DOI | MR | Zbl

[16] Kinderlerer D., Stampakkya G., Vvedenie v variatsionnye neravenstva i ikh prilozheniya, Mir, M., 1983 | MR

[17] Suslina T. A., “Usrednenie statsionarnoi periodicheskoi sistemy Maksvella”, Algebra i analiz, 16:5 (2004), 162–244 | MR | Zbl