Decay rates for viscoelastic plates with memory View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1996-07

AUTHORS

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

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. More... »

PAGES

61-87

References to SciGraph publications

Journal

TITLE

Journal of Elasticity

ISSUE

1

VOLUME

44

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf00042192

DOI

http://dx.doi.org/10.1007/bf00042192

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1048266128


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