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Energy decay for evolution equations with glassy type memory

2025/08/28 by Loreti, Paola, Sforza, Daniela
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2508.20921

Abstract

In this paper, we address the question of estimating the energy decay of integro-differential evolution equations with glassy memory. This class of memory kernel was not analyzed in previous studies. Moreover, a detailed analysis provides an explicit estimate of the connection between the kernel function's decay constant and the energy's decay constant.

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