UPPER SEMICONTINUITY OF PULLBACK ATTRACTORS FOR NON-AUTONOMOUS GENERALIZED 2D PARABOLIC EQUATIONS

• Published in: Journal of the Korean Mathematical Society Vol. 52; no. 6; pp. 1149 - 1159
• Main Authors: PARK, JONG YEOUL, PARK, SUN-HYE
• Format: Journal Article
• Language: English
• Published: 대한수학회 01.11.2015
• Subjects: 수학
• ISSN: 0304-9914; 2234-3008
• DOI: 10.4134/JKMS.2015.52.6.1149

This paper is concerned with a generalized 2D parabolic equation with a nonautonomous perturbation −△ut + α2△2ut + μ△2u + ∇ · F→ (u) + B(u, u) = ǫg(x, t). Under some proper assumptions on the external force term g, the up- per semicontinuity of pullback attractors is proved. More precisely, it is shown that the pullback attractor {Aǫ(t)}t∈R of the equation with ǫ > 0 converges to the global attractor A of the equation with ǫ = 0. KCI Citation Count: 0