Geodesic
On asymptotic properties of solutions of mixed problems for quasilinear parabolic equations in unbounded domains
Sbornik. Mathematics, Tome 73 (1992) no. 2, pp. 557-567 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Lower bounds are established for the rate of growth of generalized, locally bounded solutions of mixed problems for various classes of quasilinear degenerate parabolic equations both of second and higher orders in unbounded spatial domains. 
@article{SM_1992_73_2_a15,
     author = {V. F. Akulov and A. E. Shishkov},
     title = {On asymptotic properties of solutions of mixed problems for quasilinear parabolic equations in unbounded domains},
     journal = {Sbornik. Mathematics},
     pages = {557--567},
     year = {1992},
     volume = {73},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1992_73_2_a15/}
}
TY  - JOUR
AU  - V. F. Akulov
AU  - A. E. Shishkov
TI  - On asymptotic properties of solutions of mixed problems for quasilinear parabolic equations in unbounded domains
JO  - Sbornik. Mathematics
PY  - 1992
SP  - 557
EP  - 567
VL  - 73
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SM_1992_73_2_a15/
LA  - en
ID  - SM_1992_73_2_a15
ER  - 
%0 Journal Article
%A V. F. Akulov
%A A. E. Shishkov
%T On asymptotic properties of solutions of mixed problems for quasilinear parabolic equations in unbounded domains
%J Sbornik. Mathematics
%D 1992
%P 557-567
%V 73
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1992_73_2_a15/
%G en
%F SM_1992_73_2_a15
V. F. Akulov; A. E. Shishkov. On asymptotic properties of solutions of mixed problems for quasilinear parabolic equations in unbounded domains. Sbornik. Mathematics, Tome 73 (1992) no. 2, pp. 557-567. http://geodesic.mathdoc.fr/item/SM_1992_73_2_a15/

[1] Tikhonov A. N., “Teoremy edinstvennosti dlya uravneniya teploprovodnosti”, Matem. sb., 42(84) (1935), 199–216

[2] Täcklind S., “Sur les class quasiana lytiques des solutions des equations aux derivees partielles du type parabolique”, Nova Acta Reg. Soc. Schien. Uppsal. Ser. 4, 10:3 (1936), 3–55

[3] Oleinik O. A., Radkevich E. V., “Metod vvedeniya parametra dlya issledovaniya evolyutsionnykh uravnenii”, UMN, 33:5 (1978), 7–76 | MR | Zbl

[4] Dubinskii Yu. A., “Nelineinye ellipticheskie i parabolicheskie uravneniya”, Sovremennye problemy matematiki, 9, VINITI, M., 1976, 5–130

[5] Mazya V. G., Prostranstva Soboleva, Izd-vo LGU, L., 1985

[6] Solonnikov V. A., “O differentsialnykh svoistvakh slabykh reshenii kvazilineinykh ellipticheskikh uravnenii”, Zap. nauchn. seminarov LOMI, 39 (1974), 110–119 | MR | Zbl

[7] Kalashnikov A. S., “O zadache Koshi v klassakh rastuschikh funktsii dlya nekotorykh kvazilineinykh parabolicheskikh uravnenii”, Differents. uravneniya, 9:4 (1973), 682–691 | MR | Zbl

[8] Maksimova N. O., “O edinstvennosti reshenii zadachi Koshi i kraevykh zadach v neogranichennykh oblastyakh dlya nekotorykh klassov nelineinykh vyrozhdayuschikhsya parabolicheskikh uravnenii”, Tr. seminara im. G. I. Petrovskogo, 1985, no. 11, 12–31

[9] Shishkov A. E., Akulov V. F., “Analogi klassa Teklinda edinstvennosti reshenii smeshannykh zadach dlya nekotorykh kvazilineinykh vyrozhdayuschikhsya parabolicheskikh uravnenii”, DAN USSR. Ser. A, 1989, no. 5, 23–25 | MR | Zbl

[10] Kalantarov V. K., “Ob otsenkakh reshenii kvazilineinykh parabolicheskikh uravnenii v neogranichennykh oblastyakh”, Izv. AN AzSSR. Ser. fiz.-tekhn. i matem. nauk, 7:1 (1986), 33–38 | MR

[11] Dahlberg B. E., Kenig C. E., “Non-negative solutions of the porous medium equation”, Comm. Part. Differ. Equat., 9:5 (1984), 409–437 | DOI | MR | Zbl

[12] Herrero M. A., Pirre M., “The Cauchy problem for $u_t-\Delta u^m=0$ when $01$”, Trans. Amer. Math. Soc., 291:1 (1985), 145–158 | DOI | MR | Zbl