Uniform stabilization of a plate equation with nonlinear localized dissipation

• Pazoto, Ademir F. ^[1] ; Coelho, Lucicléia ^[2] ; Coimbra Charao, Ruy ^[2]
  1. [1] Universidade Federal do Rio de Janeiro

     Universidade Federal do Rio de Janeiro

     Brasil

     
  2. [2] Universidade Federal de Santa Catarina

     Universidade Federal de Santa Catarina

     Brasil

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 23, Nº. 3, 2004, págs. 205-234
• Idioma: inglés
• DOI: 10.4067/S0716-09172004000300002
• Enlaces
  • Texto completo
• Resumen

  • 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.

• Referencias bibliográficas
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