Azer KHANMAMEDOV
,
Sema YAYLA
. LONG-TIME DYNAMICS OF THE STRONGLY DAMPED SEMILINEAR PLATE EQUATION IN RN[J]. Acta mathematica scientia, Series B, 2018
, 38(3)
: 1025
-1042
.
DOI: 10.1016/S0252-9602(18)30799-9
[1] Pazy A. Semigroups of linear operators and applications to partial differential equations. New York:Springer, 1983
[2] Cazenave T, Haraux A. An introduction to semilinear evolution equations. New York:Oxford University Press, 1998
[3] Feireisl E. Attractors for semilinear damped wave equations on R3. Nonlinear Anal, 1994, 23:187-195
[4] Feireisl E. Asymptotic behavior and attractors for a semilinear damped wave equation with supercritical exponent. Proc Roy Soc Edinburgh, 1995, 125:1051-1062
[5] Belleri V, Pata V. Attractors for semilinear strongly damped wave equations on R3. Discrete Contin Dyn Syst, 2001, 7:719-735
[6] Conti M, Pata V, Squassina M. Strongly damped wave equations on R3 with critical nonlinearities. Commun Appl Anal, 2005, 9:161-176
[7] Yang Z, Ding P. Longtime dynamics of the Kirchhoff equation with strong damping and critical nonlinearity on RN. J Math Anal Appl, 2016, 434:1826-1851
[8] Khanmamedov A.Kh. Existence of a global attractor for the plate equation with a critical exponent in an unbounded domain. Applied Mathematics Letters, 2005, 18:827-832
[9] Khanmamedov A.Kh. Global attractors for the plate equation with a localized damping and a critical exponent in an unbounded domain. J Differential Equations, 2006, 225:528-548
[10] Wang B. Attractors for reaction diffusion equations in unbounded domains. Phys D, 1999, 128:41-52
[11] Ball J M. Global attractors for damped semilinear wave equations. Discrete Contin Dyn Syst, 2004, 10:31-52
[12] Arat Z, Khanmamedov A, Simsek S. Global attractors for the plate equation with nonlocal nonlinearity in unbounded domains. Dyn Partial Differ Equ, 2014, 11:361-379
[13] Khanmamedov A, Simsek S. Existence of the global attractor for the plate equation with nonlocal nonlinearity in Rn. Discrete Contin Dyn Syst Ser B, 2016, 21:151-172
[14] Chueshov I, Lasiecka I. Von Karman Evolution Equations:Well-posedness and long-time dynamics. New York:Springer, 2010
[15] Simon J. Compact sets in the space Lp(0, T; B). Annali Mat Pura Appl, 1987, 146:65-96
[16] Khanmamedov A.Kh. Global attractors for von Karman equations with nonlinear interior dissipation. J Math Anal Appl, 2006, 318:92-101
[17] Khanmamedov A.Kh. Global attractors for 2-D wave equations with displacement dependent damping. Math Methods Appl Sci, 2010, 33:177-187
[18] Babin A V, Vishik M I. Attractors of evolution equations. Amsterdam:North-Holland, 1992
