Decay rates for viscoelastic plates with memory |
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| Authors: | J E Muñoz Rivera E C Lapa R Barreto |
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| Institution: | (1) Department of Research Development, National Laboratory for Scientific Computation, Rua Lauro Müller 455, Botafogo Cep. 22290, Rio de Janeiro, RJ, Brasil;(2) Universidad Nacional Mayor de San Marcos, Av. Venezuela s/n, Lima, Peru;(3) Department of Mathematics of Fluminense University, Rio de Janeiro, Brasil |
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| Abstract: | We consider the viscoelastic plate equation and we prove that the first and second order energies associated with its solution decay exponentially provided the kernel of the convolution also decays exponentially. When the kernel decays polynomially then the energy also decays polynomially. More precisely if the kernel g satisfiesg(t)  -c0g(t)1+1/p and g,g1+1/p  L1( ) with p > 2, then the energy decays as 1/(1+t)p.IM, Federal University of Rio de Janeiro, Supported by a grant of CNPq. |
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| Keywords: | 35B40 35L05 35L70 |
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