Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IVM_2005_9_a3, author = {H. Matevossian and I. V. Filimonova}, title = {On the averaging of weakly nonlinear parabolic operators in a perforated cylinder}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {29--37}, publisher = {mathdoc}, number = {9}, year = {2005}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2005_9_a3/} }
TY - JOUR AU - H. Matevossian AU - I. V. Filimonova TI - On the averaging of weakly nonlinear parabolic operators in a perforated cylinder JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2005 SP - 29 EP - 37 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2005_9_a3/ LA - ru ID - IVM_2005_9_a3 ER -
H. Matevossian; I. V. Filimonova. On the averaging of weakly nonlinear parabolic operators in a perforated cylinder. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2005), pp. 29-37. http://geodesic.mathdoc.fr/item/IVM_2005_9_a3/
[1] Bensoussan A., Lions J.-L., Papanicolaou G., Asymtotic analysis for periodic structures, North-Holland, Amsterdam, 1978, 700 pp. | MR
[2] Zhikov V.V., Kozlov S.M., Oleinik O.A., Usrednenie differentsialnykh operatorov, Fizmatlit, M., 1993, 464 pp. | MR | Zbl
[3] Marchenko V.A., Khruslov E.Ya., Kraevye zadachi v oblastyakh s melkozernistoi granitsei, Nauk. dumka, Kiev, 1974, 280 pp. | MR
[4] Brezis H., Friedman A., “Nonlinear parabolic equation involving measures as initial conditions”, J. Math. Pures Appl., 62:1 (1983), 73–97 | MR | Zbl
[5] Brezis H., Peletier L.A., Terman D., “A very singular solutions of the heat equation with absorption”, Arch. Ration. Mech. Anal., 95:3 (1986), 185–209 | DOI | MR | Zbl
[6] Kamin S., Peletier L.A., “Singular solutions of the heat equation with absorption”, Proc. Amer. Math. Society, 95:2 (1985), 205–210 | DOI | MR | Zbl
[7] Ilin A.M., Oleinik O.A., Kalashnikov A.S., “Lineinye uravneniya vtorogo poryadka parabolicheskogo tipa”, UMN, 17:3 (1962), 3–146 | MR
[8] Matevosyan O.A., Pikulin S.V., “Ob usrednenii slabonelineinykh divergentnykh ellipticheskikh operatorov v perforirovannom kube”, Matem. zametki, 68:3 (2000), 390–398 | MR
[9] Matevosyan O.A., Pikulin S.V., “Ob usrednenii polulineinykh ellipticheskikh operatorov v perforirovannykh oblastyakh”, Matem. sb., 193:3 (2002), 101–114 | MR | Zbl
[10] Kondratev V.A., Landis E.M., “O kachestvennykh svoistvakh reshenii odnogo nelineinogo uravneniya vtorogo poryadka”, Matem. sb., 135:3 (1988), 346–360 | MR
[11] Chistyakov V.V., “O svoistvakh reshenii polulineinykh parabolicheskikh uravnenii vtorogo poryadka”, Tr. seminara I.G. Petrovskogo, 15, 1991, 70–107 | MR | Zbl
[12] Ladyzhenskaya O.A., Solonnikov V.A., Uraltseva N.N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967, 736 pp. | MR
[13] Littman W., Stampacchia G., Weinberger B., “Regular points for elliptic equations with discontinuous coefficients”, Ann. Scuola Norm. Super. Pisa. Ser. 3, 17:1–2 (1963), 43–77 | MR | Zbl
[14] Gilbarg D., Trudinger N., Ellipticheskie differentsialnye uravneniya s chastnymi proizvodnymi vtorogo poryadka, Nauka, M., 1989, 464 pp. | MR | Zbl