Geodesic
Blow-up of a solution of a pseudoparabolic equation with the time derivative of a nonlinear elliptic operator
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 12, pp. 1788-1795 
M. O. Korpusov. Blow-up of a solution of a pseudoparabolic equation with the time derivative of a nonlinear elliptic operator. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 12, pp. 1788-1795. http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_12_a3/
@article{ZVMMF_2002_42_12_a3,
     author = {M. O. Korpusov},
     title = {Blow-up of a solution of a pseudoparabolic equation with the time derivative of a nonlinear elliptic operator},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1788--1795},
     year = {2002},
     volume = {42},
     number = {12},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_12_a3/}
}
TY  - JOUR
AU  - M. O. Korpusov
TI  - Blow-up of a solution of a pseudoparabolic equation with the time derivative of a nonlinear elliptic operator
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2002
SP  - 1788
EP  - 1795
VL  - 42
IS  - 12
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_12_a3/
LA  - ru
ID  - ZVMMF_2002_42_12_a3
ER  - 
%0 Journal Article
%A M. O. Korpusov
%T Blow-up of a solution of a pseudoparabolic equation with the time derivative of a nonlinear elliptic operator
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2002
%P 1788-1795
%V 42
%N 12
%U http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_12_a3/
%G ru
%F ZVMMF_2002_42_12_a3

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

[1] Korpusov M. O., Pletner Yu. D., Sveshnikov A. G., “O kvazistatsionarnykh protsessakh v provodyaschikh sredakh bez dispersii”, Zh. vychisl. matem. i matem fiz., 40:8 (2000), 1237–1249 | MR | Zbl

[2] Levine H. A., “Some nonexistence and instability theorems for solutions of formally parabolic equations of the form $Pu-t=-Au+F(u)$”, Arch. Ration. Mech. and Analys., 51 (1973), 371–386 | MR | Zbl

[3] Gaevskii X., Greger K., Zakharias K., Nelineinye operatornye uravneniya i operatornye differentsialnye uravneniya, Mir, M., 1978 | MR

[4] Sviridyuk G. A., “K obschei teorii polugrupp operatorov”, Uspekhi matem. nauk, 49:4 (1994), 47–74 | MR | Zbl

[5] Kozhanov A. I., “Nachalno-kraevaya zadacha dlya uravnenii tipa obobschennogo uravneniya Bussineska s nelineinym istochnikom”, Matem. zametki, 65:1 (1999), 70 | MR | Zbl

[6] Korpusov M. O., Sveshnikov A. G., “O razrushenii za konechnoe vremya resheniya nachalno-kraevoi zadachi dlya polulineinogo uravneniya sostavnogo tipa”, Zh. vychisl. matem. i matem. fiz., 40:11 (2000), 1716–1724 | MR | Zbl

[7] Korpusov M. O., “Globalnaya razreshimost i razrushenie za konechnoe vremya reshenii nelineinykh uravnenii psevdoparabolicheskogo tipa”, Zh. vychisl. matem. i matem. fiz., 42:6 (2002), 849–866 | MR | Zbl

[8] Gladkov A. L., “Edinstvennost resheniya zadachi Koshi dlya nekotorykh kvazilineinykh psevdoparabolicheskikh uravnenii”, Matem. zametki, 60:3 (1996), 356 | MR | Zbl

[9] Samarskii A. A., Galaktionov V. A., Kurdyumov S. P., Mikhailov A. P., Rezhimy s obostreniem v zadachakh dlya kvazilineinykh parabolicheskikh uravnenii, Nauka, M., 1987 | MR

[10] Robertson A., Robertson V., Topologicheskie vektornye prostranstva, Mir, M., 1967 | MR | Zbl

[11] Demidovich V. P., Lektsii po matematicheskoi teorii ustoichivosti, Nauka, M., 1967 | MR

[12] Guowang C., Shubin W., “Existence and non-existence of global solutions for nonlinear hyperbolic equations of higher order”, Comment. Math. Univ. Carolinae, 36:3 (1995), 475–487 | MR | Zbl