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@article{DVMG_2014_14_1_a6, author = {A. G. Podgaev and N. E. Istomina}, title = {On {Faedo--Galerkin} methods and monotony in a non-cylindrical domain for a degenerate quasi-linear equation}, journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal}, pages = {73--89}, publisher = {mathdoc}, volume = {14}, number = {1}, year = {2014}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/DVMG_2014_14_1_a6/} }
TY - JOUR AU - A. G. Podgaev AU - N. E. Istomina TI - On Faedo--Galerkin methods and monotony in a non-cylindrical domain for a degenerate quasi-linear equation JO - Dalʹnevostočnyj matematičeskij žurnal PY - 2014 SP - 73 EP - 89 VL - 14 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DVMG_2014_14_1_a6/ LA - ru ID - DVMG_2014_14_1_a6 ER -
%0 Journal Article %A A. G. Podgaev %A N. E. Istomina %T On Faedo--Galerkin methods and monotony in a non-cylindrical domain for a degenerate quasi-linear equation %J Dalʹnevostočnyj matematičeskij žurnal %D 2014 %P 73-89 %V 14 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/DVMG_2014_14_1_a6/ %G ru %F DVMG_2014_14_1_a6
A. G. Podgaev; N. E. Istomina. On Faedo--Galerkin methods and monotony in a non-cylindrical domain for a degenerate quasi-linear equation. Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 1, pp. 73-89. http://geodesic.mathdoc.fr/item/DVMG_2014_14_1_a6/
[1] M. Gevrey, “Les equations paraboliques”, J. de Math., 9. (1913), 187–235
[2] I. G. Petrowsky, “Zur ersten Randwertaufgabe der Warmeleitungsgleichung”, Compositio math, 1 (1935), 389–419 | MR
[3] V. P. Mikhailov, “O zadache Dirikhle i pervoi smeshannoi zadache dlya parabolicheskogo uravneniya”, Dokl. AN SSSR, 140:2 (1961), 303–306
[4] V. P. Mikhailov, “O zadache Dirikhle dlya parabolicheskogo uravneniya”, Mat. sbornik, 61(103):1 (1963), 40–64
[5] S. G. Krein, G. I. Laptev, “Abstraktnaya skhema rassmotreniya parabolicheskikh zadach v netsilindricheskikh oblastyakh”, Differentsialnye uravneniya, 5:8 (1969), 1458–1469 | MR | Zbl
[6] R. Benabidallah, J. Ferreira, “On hyperbolic – parabolic equations with nonlinearity of Kirchhoff – Carrier type in domains with moving boundary”, Nonlinear Analysis, 37 (1999), 269–287 | DOI | MR | Zbl
[7] J. Ferreira, N. A. Lar'kin, “Global solvability of a mixed problem for a nonlinear hyperbolic – parabolic equation in noncylindrical domains”, Portugaliae Mathematica, 53:4 (1996), 381–395 | MR | Zbl
[8] P. V. Vinogradova, A. G. Zarubin, “O metode Galerkina dlya kvazilineinykh parabolicheskikh uravnenii v netsilindricheskoi oblasti”, Dalnevostochnyi mat. zhurnal., 3:1 (2002), 3–17
[9] Zh.-L. Lions, Nekotorye metody resheniya nelineinykh kraevykh zadach, Mir, M, 1972, 588 pp. | MR
[10] S. N. Glazatov, “Nekotorye zadachi dlya dvazhdy nelineinykh parabolicheskikh uravnenii v netsilindricheskikh oblastyakh”, Dif. i integr. uravneniya mat. modeli, Tezisy dokladov mezhd. nauch. konferentsii, Chelyabinskii gos. un-t, Chelyabinsk, 2002, 31
[11] N. E. Istomina, A. G. Podgaev, “O razreshimosti zadachi dlya kvazilineinogo vyrozhdayuschegosya parabolicheskogo uravneniya v oblasti s netsilindricheskoi granitsei”, Dalnevostochnyi matematicheskii zhurnal, 1:1 (2000), 63–73
[12] E. G. Agapova, Issledovanie razreshimosti zadach dlya nestatsionarnykh vyrozhdayuschikhsya na reshenii nelineinykh uravnenii, Dis. ... kand. f.-m. nauk: 01.01.02., KhGTU, Khabarovsk, 2000
[13] Kh. Gaevskii, K. Greger, K. Zakharias, Nelineinye operatornye uravneniya i operatorno-differentsialnye uravneniya, Mir, M., 1978, 336 pp.
[14] Yu. A. Dubinskii, “Kvazilineinye ellipticheskie i parabolicheskie uravneniya lyubogo poryadka”, Uspekhi matematicheskikh nauk, XXIII:1(139) (1968), 45–90 | MR
[15] G. V. Demidenko, Vvedenie v teoriyu sobolevskikh prostranstv, Uchebnoe posobie, Novosib. un-t., Novosibirsk, 1995, 111 pp. | MR | Zbl
[16] N. E. Istomina, Razvitie metoda monotonnosti na sluchai parabolicheskogo uravneniya v netsilindricheskoi oblasti, Preprint No 6 IPM DVO RAN, Dalnauka, Vladivostok, 2001, 40 pp.
[17] N. E. Istomina, A. G. Podgaev, “Teorema edinstvennosti dlya nelineinogo parabolicheskogo uravneniya v netsilindricheskoi oblasti”, Mat. zametki YaGU, 10:1 (2003), 27–33 | Zbl
[18] A. G. Podgaev, A. Z. Sin, “Ob odnom obobschenii lemmy Vishika – Dubinskogo i neravenstva Gronuolla”, Elektronnoe nauchnoe izdanie “Uchenye zametki TOGU”, 4:4 (2013), 2113–2118
[19] O. A. Ladyzhenskaya, Kraevye zadachi matematicheskoi fiziki, Nauka, M, 1973, 408 pp. | MR
[20] A. N. Kolmogorov, S. V. Fomin, Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M, 1968, 496 pp. | MR | Zbl