Differential and Integral Equations

A linear viscoelasticity problem with a singular memory kernel: an existence and uniqueness result

Giorgio Vergara Caffarelli, Sandra Carillo, and Vanda Valente

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Abstract

The existence and uniqueness of solution to a one-dimensional hyperbolic problem arising in viscoelasticity is here considered. Specifically, the case of a singular kernel is analyzed. This choice is suggested by applications according to the literature to model a wider variety of materials.

Article information

Source
Differential Integral Equations, Volume 26, Number 9/10 (2013), 1115-1125.

Dates
First available in Project Euclid: 3 July 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1372858565

Mathematical Reviews number (MathSciNet)
MR3100080

Zentralblatt MATH identifier
1299.74072

Subjects
Primary: 74H20: Existence of solutions 35Q74: PDEs in connection with mechanics of deformable solids 45K05: Integro-partial differential equations [See also 34K30, 35R09, 35R10, 47G20] 74D05: Linear constitutive equations

Citation

Carillo, Sandra; Valente, Vanda; Caffarelli, Giorgio Vergara. A linear viscoelasticity problem with a singular memory kernel: an existence and uniqueness result. Differential Integral Equations 26 (2013), no. 9/10, 1115--1125. https://projecteuclid.org/euclid.die/1372858565


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