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• W2901755890 abstract "The existence and uniqueness of solution to a one-dimensional hyperbolic integro-differential problem arising in viscoelasticity is here considered. The kernel, in the linear viscoelasticity equation, represents the relaxation function which is characteristic of the considered material. Specifically, the case of a kernel, which does not satisfy the classical regularity requirements is analysed. This choice is suggested by applications according to the literature to model a wider variety of materials. A notable example of kernel, not satisfying the classical regularity requirements, is represented by a wedge continuous function. Indeed, the linear integro-differential viscoelasticity equation, characterised by a suitable wedge continuous relaxation function, is shown to give the classical linear wave equation via a limit procedure." @default.
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• W2901755890 date "2019-01-01" @default.
• W2901755890 modified "2023-10-11" @default.
• W2901755890 title "On weak regularity requirements of the relaxation modulus in viscoelasticity" @default.
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• W2901755890 doi "https://doi.org/10.2478/caim-2019-0014" @default.
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