Intrinsic decay rate estimates for abstract wave equation with memory | Zendy

Hao Jianghao | Zendy; Wei Jing | Zendy

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Intrinsic decay rate estimates for abstract wave equation with memory

Author(s) -

Hao Jianghao,

Wei Jing

Publication year - 2017

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.4375

Subject(s) - dissipative system , mathematics , ode , convex function , viscoelasticity , function (biology) , kernel (algebra) , mathematical analysis , wave equation , regular polygon , nonlinear system , mathematical physics , pure mathematics , physics , quantum mechanics , thermodynamics , geometry , evolutionary biology , biology

In this paper, we consider an abstract wave equation in the presence of memory. The viscoelastic kernel g ( t ) is subject to a general assumptiong ′ ( t ) ⩽ − H ( g ( t ) ) , where the function H (·)∈ C 1 ( R + ) is positive, increasing and convex with H (0)=0. We give the decay result as a solution to a given nonlinear dissipative ODE governed by the function H ( s ). Copyright © 2017 John Wiley & Sons, Ltd.

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