Gc. Ji et I. Lasiecka, Nonlinear boundary feedback stabilization for a semilinear Kirchhoff platewith dissipation acting only via moments-limiting behavior, J MATH ANAL, 229(2), 1999, pp. 452-479
A semilinear Kirchhoff plate with a nonlinear dissipation acting via moment
s only is considered. It is shown that the plate is uniformly stabilizable
with uniform energy decay rates with respect to the parameter gamma > 0 rep
resenting rotational forces (assumed small). Moreover, it is shown that the
solutions of the Kirchhoff plate converge to solutions of the semilinear E
uler-Bernoulli plate, when gamma --> 0, which is also uniformly stable in f
inite energy norm. (C) 1999 Academic Press.