Global domain of attraction of a step-like contrast structure in a critical case
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 8, pp. 1410-1431 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2004_44_8_a6,
     author = {V. F. Butuzov and S. A. Kryazhimskii and I. V. Nedelko},
     title = {Global domain of attraction of a step-like contrast structure in a critical case},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1410--1431},
     year = {2004},
     volume = {44},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_8_a6/}
}
TY  - JOUR
AU  - V. F. Butuzov
AU  - S. A. Kryazhimskii
AU  - I. V. Nedelko
TI  - Global domain of attraction of a step-like contrast structure in a critical case
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2004
SP  - 1410
EP  - 1431
VL  - 44
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_8_a6/
LA  - ru
ID  - ZVMMF_2004_44_8_a6
ER  - 
%0 Journal Article
%A V. F. Butuzov
%A S. A. Kryazhimskii
%A I. V. Nedelko
%T Global domain of attraction of a step-like contrast structure in a critical case
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2004
%P 1410-1431
%V 44
%N 8
%U http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_8_a6/
%G ru
%F ZVMMF_2004_44_8_a6
V. F. Butuzov; S. A. Kryazhimskii; I. V. Nedelko. Global domain of attraction of a step-like contrast structure in a critical case. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 8, pp. 1410-1431. http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_8_a6/

[1] Vasileva A. B., Butuzov V. F., Asimptoticheskie metody v teorii singulyarnykh vozmuschenii, Vyssh. shkola, M., 1990 | MR

[2] Iibun T., Sakamoto K., “Internal layers intersecting the boundary of domain in the Allen-Cahn equation”, J. Industr. Appl. Math. Japan, 2001, no. 18, 697–738 | DOI | MR | Zbl

[3] Butuzov V. F., Nedelko I. V., “Asimptoticheskaya ustoichivost reshenii singulyarno vozmuschennykh kraevykh zadach s pogranichnymi i vnutrennimi sloyami”, Differents. ur-niya, 36:2 (2000), 198–208 | MR | Zbl

[4] Butuzov V. F., Nedelko I. V., “O globalnoi oblasti vliyaniya ustoichivykh reshenii s vnutrennimi sloyami”, Matem. sb., 192:5 (2001), 13–52 | MR

[5] Butuzov V. F., Kryazhimskii S. A., Nedelko I. V., “O globalnoi oblasti vliyaniya ustoichivykh kontrastnykh struktur tipa stupenki v zadache Dirikhle”, Zh. vychisl. matem. i matem. fiz., 44:6 (2004), 1039–1061 | MR | Zbl

[6] Amann H., “Periodic solutions of semilinear parabolic equations”, Nonlinear Analysis, Collection of Papers in Honor of Erich Rothe, Acad. Press, New York, 1978, 1–29 | MR

[7] Amann H., “Existence and stability of solutions for semilinear parabolic systems and applications to some diffusion reaction equations”, Proc. Roy. Soc. Edinburgh, 81:1 (1978), 35–47 | MR | Zbl

[8] Radchenko I. V., “Kontrastnaya struktura tipa “stupenki” v odnom singulyarno vozmuschennom differentsialnom uravnenii”, Matem. metody i prilozheniya, Tr. pyatykh matem. chtenii MGSU, M., 1997

[9] Vasileva A. B., Butuzov V. F., Nefedov N. N., “Kontrastnye struktury v singulyarno vozmuschennykh zadachakh”, Fundamentalnaya i prikl. matem., 4:3 (1998), 799–851 | MR

[10] Nefedov N. N., “Metod differentsialnykh neravenstv dlya nekotorykh singulyarno vozmuschennykh zadach v chastnykh proizvodnykh”, Differents. ur-niya, 31:4 (1995), 719–722 | MR | Zbl