Uniform stabilization of a plate equation with nonlinear localized dissipation
Author
Pazoto, Ademir F.
Coelho, Lucicléia
Coimbra Charao, Ruy
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/155310.4067/S0716-09172004000300002
Abstract
We study the existence and uniqueness of a plate equation in a bounded domain of R?, with a dissipative nonlinear term, localized in a neighborhood of part of the boundary of the domain. We use techniques from control theory, the unique continuation property and Nakao method to prove the uniform stabilization of the energy of the system with algebraic decay rates depending on the order of the nonlinearity of the dissipative term.