Regularity of the Global Attractor for the Plate Equation with Nonlocal Nonlinearity in R~n

摘要

This paper deals with the regularity of the global attractor for the semilinear plate equation with nonlocal nonlinearity. We proved the existence of the global attractor in the phase space H~2 (R~n) × L~2 (R~n) in our earlier work. In this study, we show that the global attractor is a bounded subset of H~4 (R~n) × H~2 (R~n).