Geodesic
Inertial manifolds for weakly and strongly dissipative hyperbolic equations
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 29 (2013) no. 29, pp. 230-247 
A. Yu. Goritskii; N. A. Chalkina. Inertial manifolds for weakly and strongly dissipative hyperbolic equations. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 29 (2013) no. 29, pp. 230-247. http://geodesic.mathdoc.fr/item/TSP_2013_29_29_a4/
@article{TSP_2013_29_29_a4,
     author = {A. Yu. Goritskii and N. A. Chalkina},
     title = {Inertial manifolds for weakly and strongly dissipative hyperbolic equations},
     journal = {Trudy Seminara im. I.G. Petrovskogo},
     pages = {230--247},
     year = {2013},
     volume = {29},
     number = {29},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TSP_2013_29_29_a4/}
}
TY  - JOUR
AU  - A. Yu. Goritskii
AU  - N. A. Chalkina
TI  - Inertial manifolds for weakly and strongly dissipative hyperbolic equations
JO  - Trudy Seminara im. I.G. Petrovskogo
PY  - 2013
SP  - 230
EP  - 247
VL  - 29
IS  - 29
UR  - http://geodesic.mathdoc.fr/item/TSP_2013_29_29_a4/
LA  - ru
ID  - TSP_2013_29_29_a4
ER  - 
%0 Journal Article
%A A. Yu. Goritskii
%A N. A. Chalkina
%T Inertial manifolds for weakly and strongly dissipative hyperbolic equations
%J Trudy Seminara im. I.G. Petrovskogo
%D 2013
%P 230-247
%V 29
%N 29
%U http://geodesic.mathdoc.fr/item/TSP_2013_29_29_a4/
%G ru
%F TSP_2013_29_29_a4

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

[1] Temam R., Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Appl. Math. Ser., 68, Springer, N.Y., 1988 ; 2nd ed. 1997 | MR | Zbl

[2] Babin A. V., Vishik M. I., Attraktory evolyutsionnykh uravnenii, Nauka, M., 1989 | MR | Zbl

[3] Chepyzhov V. V., Vishik M. I., Attractors for Equations of Mathematical Physics, AMS Coll. Publ., Providence, 2002 | MR | Zbl

[4] Constantine P., Foias C., Nicolaenko B., Temam R., Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations, Appl. Math. Sci., 70, Springer, N.Y., 1989 | DOI | MR

[5] Chueshov I. D., Vvedenie v teoriyu beskonechnomernykh dinamicheskikh sistem, Akta, Kharkov, 1999 | MR | Zbl

[6] Mora X., “Finite-dimensional attracting invariant manifolds for damped semilinear wave equations”, Res. Notes Math., 155 (1987), 172–183 | MR | Zbl

[7] Chepyzhov V. V., Goritsky A. Yu., “Global integral manifolds with exponential tracking for nonautonomous equations”, Russ. J. Math. Phys., 5:1 (1997), 9–28 | MR | Zbl

[8] Goritskii A. Yu., Chepyzhov V. V., “Svoistvo dikhotomii reshenii kvazilineinykh uravnenii v zadachakh ob inertsialnykh mnogoobraziyakh”, Mat. sb., 196:4 (2005), 23–50 | DOI | MR

[9] Chepyzhov V. V., Goritsky A. Yu., Vishik M. I., “Integral manifolds and attractors with exponential rate for nonautonomous hyperbolic equations with dissipation”, Russ. J. Math. Phys., 12:1 (2005), 17–39 | MR | Zbl

[10] Goritskii A. Yu., “Konstruktivnoe postroenie prityagivayuschikh integralnykh mnogoobrazii dlya dissipativnogo giperbolicheskogo uravneniya”, Tr. seminara im. I. G. Petrovskogo, 26 (2007), 92–115 | MR

[11] Chalkina N. A., “Inertsialnye mnogoobraziya dlya giperbolicheskogo uravneniya s dissipatsiei”, Vestn. Mosk. un-ta. Ser. 1. Matematika, mekhanika, 2011, no. 6, 3–7 | MR

[12] Pata V., Squassina M., “On the strongly damped wave equation”, Comm. Math. Phys., 253 (2005), 511–533 | DOI | MR | Zbl