Differential and Integral Equations
- Differential Integral Equations
- Volume 26, Number 9/10 (2013), 1115-1125.
A linear viscoelasticity problem with a singular memory kernel: an existence and uniqueness result
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.
Differential Integral Equations, Volume 26, Number 9/10 (2013), 1115-1125.
First available in Project Euclid: 3 July 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
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
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