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Decay rates for viscoelastic plates with memory (1996)

Rivera, J. E. Muñoz ; Lapa, E. C. ; Barreto, R.

Springer

Journal of elasticity 44 (1996), S. 61-87

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ISSN: 1573-2681

Keywords: 35B40 ; 35L05 ; 35L70 ; viscoelasticity ; exponential decay ; initial boundary value problems

Source: Springer Online Journal Archives 1860-2000

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics

Notes: 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 satisfies g(t) ⩽ -c0g(t)1+1/p and g,g1+1/p ∈ L1(ℝ) with p 〉 2, then the energy decays as 1/(1+t)p.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00042192

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