A decay result to a viscoelastic problem in R-n with an oscillating kernel

作者:Kafini Mohammad; Tatar Nasser eddine
来源:Journal of Mathematical Physics, 2010, 51(7): 073506.
DOI:10.1063/1.3458600

摘要

In this paper we consider a linear Cauchy viscoelastic problem. We show that, for compactly supported initial data and for not necessarily decreasing (oscillating) relaxation function, the decay of the first energy of solutions is polynomial. The proof relies on some appropriately chosen functionals. The combination of which satisfies a certain integral inequality.

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