JOURNAL BROWSE
Search
Advanced SearchSearch Tips
UPPER SEMICONTINUITY OF PULLBACK ATTRACTORS FOR NON-AUTONOMOUS GENERALIZED 2D PARABOLIC EQUATIONS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
UPPER SEMICONTINUITY OF PULLBACK ATTRACTORS FOR NON-AUTONOMOUS GENERALIZED 2D PARABOLIC EQUATIONS
PARK, JONG YEOUL; PARK, SUN-HYE;
  PDF(new window)
 Abstract
This paper is concerned with a generalized 2D parabolic equation with a nonautonomous perturbation $$-{\Delta}u_t+{\alpha}^2{\Delta}^2u_t+{\mu}{\Delta}^2u+{\bigtriangledown}{\cdot}{\vec{F}}(u)+B(u,u)
 Keywords
upper semicontinuity;generalized parabolic system;pullback attractor;
 Language
English
 Cited by
 References
1.
A. V. Babin and M. I. Vishik, Attractors of Evolution Equations, North-Holland, Amsterdam, 1992.

2.
T. Caraballo, J. A. Langa, and J. C. Robinson, Upper semicontinuity of attractors for small ramdon perturbations of dynamical systems, Comm. Partial Differential Equations 23 (1998), no. 9-10, 1557-1581. crossref(new window)

3.
A. N. Carvalho, J. A. Langa, and J. C. Robinson, On the continuity of pullback attractors for evolution processes, Nonlinear Anal. 71 (2009), no. 5-6, 1812-1824. crossref(new window)

4.
C. M. Elliot and I. N. Kostin, Lower semicontinuity of a nonhyperbolic attractor for the viscous Cahn-Hilliard equation, Nonlinearity 9 (1996), 678-702.

5.
J. K. Hale, Asymptotic Behavior of Dissipative Systems, AMS, Providence, RI, 1988.

6.
J. K. Hale and G. Raugel, Upper semicontinuity of the attractor for a singularly per-turbed hyperbolic equation, J. Differential Equations 73 (1988), no. 2, 197-214. crossref(new window)

7.
J. Y. Park and S. H. Park, Pullback attractors for a non-autonomous generalized 2D parabolic system in an unbounded domain, Nonlinar Anal. 74 (2011), no. 12, 4046-4057. crossref(new window)

8.
A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983.

9.
M. Polat, Global attractors for a generalized 2D parabolic system in an unbounded domain, Appl. Anal. 8 (2009), no. 1, 63-74.

10.
J. C. Robinson, Stability of random attractors under perturbation and approximation, J. Differential Equations 186 (2002), no. 2, 652-669. crossref(new window)

11.
C. Y. Sun and M. H. Yang, Dynamics of the nonclassical diffusion equations, Asymptot. Anal. 59 (2008), no. 1-2, 51-81.

12.
B. Wang, Attractors for reaction-diffusion equations in unbounded domains, Phys. D 128 (1999), no. 1, 41-52. crossref(new window)

13.
Y. Wang and Y. Qin, Upper semicontinuity of pullback attractors for nonclassical diffusion equations, J. Math. Phys. 51 (2010), Article ID. 022701.

14.
S. Zelik, Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent, Commun. Pure Appl. Anal. 3 (2004), no. 4, 921-934. crossref(new window)