A Lower Bound for the Norm of the Solution of a Nonlinear Volterra Equation in One-Dimensional Viscoelasticity.
Abstract
It is shown that the lower bound for the norm of sufficiently smooth solutions of initial history value problems associated with the nonlinear, one-dimenstional model of viscoelastic response must grow quadratically in time on any interval where the norm of U is bounded from above. No sign definiteness restrictions are imposed on the derivatives on this model of nonlinear viscoelastic response.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 09, 1980
- Accession Number
- ADA094560
Entities
People
- Frederick Bloom
Organizations
- University of South Carolina