This note is concerned with the linear Volterra equation of hyperbolic type ∂_tt u(t)-α∆u(t)+∫_0^t μ(s)∆u(t-s)ds=0 on the whole space R^n. New results concerning the decay of the associated energy as time goes to infinity were established.
Decay rates of Volterra equations on R^n / Conti, Monica; Gatti, Stefania; Pata, Vittorino. - In: CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. - ISSN 1644-3616. - STAMPA. - 5:4(2007), pp. 720-732. [10.2478/s11533-007-0024-2]
Decay rates of Volterra equations on R^n
GATTI, Stefania;
2007
Abstract
This note is concerned with the linear Volterra equation of hyperbolic type ∂_tt u(t)-α∆u(t)+∫_0^t μ(s)∆u(t-s)ds=0 on the whole space R^n. New results concerning the decay of the associated energy as time goes to infinity were established.
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