Nonlinear Boundary Feedback Stabilization for a Semilinear Kirchhoff Plate with Dissipation Acting only via Moments-Limiting Behavior
A semilinear Kirchhoff plate with a nonlinear dissipation acting via moments only is considered. It is shown that the plate is uniformly stabilizable with uniform energy decay rates with respect to the parameter γ > 0 representing rotational forces (assumed small). Moreover, it is shown that the solutions of the Kirchhoff plate converge to solutions of the semilinear Euler-Bernoulli plate, when γ → 0, which is also uniformly stable in finite energy norm. © 1999 Academic Press.
Journal of Mathematical Analysis and Applications
Ji, G., & Lasiecka, I. (1999). Nonlinear Boundary Feedback Stabilization for a Semilinear Kirchhoff Plate with Dissipation Acting only via Moments-Limiting Behavior. Journal of Mathematical Analysis and Applications, 229 (2), 452-479. https://doi.org/10.1006/jmaa.1998.6170