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A boundary condition with memory for Kirchhoff plates equations

2003; Elsevier BV; Volume: 148; Issue: 2 Linguagem: Inglês

10.1016/s0096-3003(02)00915-3

1873-5649

Mauro de Lima Santos, Francisco De Paula Barroso Lima Júnior,

Nonlinear Dynamics and Pattern Formation

In this paper, we study the stability of solutions for Kirchhoff plates equations with a memory condition working at the boundary. We show that such dissipation is strong enough to produce exponential decay to the solution, provided the relaxation functions also decays exponentially. When the relaxation functions decays polynomially, we show that the solution decays polynomially and with the same rate.