Resumen de Uniform stabilization of a plate equation with nonlinear localized dissipation

Ademir F. Pazoto, Lucicléia Coelho, Ruy Coimbra Charao

• We study the existence and uniqueness of a plate equation in a bounded domain of Rⁿ, 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.