Decay rates of Volterra equations on ℝN
Conti Monica, Gatti Stefania, Pata Vittorino
Open Mathematics · 2007
doi:10.2478/s11533-007-0024-2 (opens in a new tab)
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Abstract
This note is concerned with the linear Volterra equation of hyperbolic type $$\partial _{tt} u(t) - \alpha \Delta u(t) + \int_0^t {\mu (s)\Delta u(t - s)} ds = 0$$ on the whole space ℝ N . New results concerning the decay of the associated energy as time goes to infinity were established.
Abstract licence: CC BY
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