We prove the asymptotic devcay of the solution u to an initial andboundary value problem related to an integro-diffeerentialequation with a memory kernel. We prove that the exponential decay may occur only if the memory kernel exponentially decays.
Counterexample to the exponential decay for systems with memory / Polidoro, Sergio. - STAMPA. - 62:(2002), pp. 265-272. (Intervento presentato al convegno Mathematical Models and Methods for Smart Materials tenutosi a Cortona nel 2002).
Counterexample to the exponential decay for systems with memory
POLIDORO, Sergio
2002
Abstract
We prove the asymptotic devcay of the solution u to an initial andboundary value problem related to an integro-diffeerentialequation with a memory kernel. We prove that the exponential decay may occur only if the memory kernel exponentially decays.
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