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General decay to a von Kármán system with memory
Authors:C.A. Raposo
Affiliation:
  • a Departamento de Matemática, Universidade Federal de São João del-Rei, UFSJ, Frei Orlando 170, Cep 36300-000, São João del-Rei, MG, Brazil
  • b Faculdade de Matemática-PPGME, Universidade Federal do Pará, UFPA, Rua Augusto Corrêa 01, CEP 66075-110, Pará, Brazil
  • Abstract:In this paper we study the von Kármán plate model with long-range memory and we show the general decay of the solution as time goes to infinity. This result generalizes and improves on earlier ones in the literature because it allows certain relaxation functions which are not necessarily of exponential or polynomial decay.
    Keywords:von Ká  rmá  n system   Memory dissipation   General decay
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