Global Existence and Asymptotic Stability for a Semilinear Hyperbolic Volterra Equation with Large Initial Data
- 1 January 1985
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 16 (1) , 110-134
- https://doi.org/10.1137/0516007
Abstract
No abstract availableKeywords
This publication has 11 references indexed in Scilit:
- A class of hyperbolic volterra integrodifferential equationsNonlinear Analysis, 1984
- Breakdown of smooth solutions in dissipative nonlinear hyperbolic equationsQuarterly of Applied Mathematics, 1982
- On a Nonlinear Hyperbolic Volterra EquationSIAM Journal on Mathematical Analysis, 1980
- An Abstract Second Order Semilinear Volterra Integrodifferential EquationSIAM Journal on Mathematical Analysis, 1979
- Energy methods for nonlinear hyperbolic volterra integrodifferential equationsCommunications in Partial Differential Equations, 1979
- A priori estimates for flows in dissipative materialsJournal of Mathematical Analysis and Applications, 1977
- A model for one-dimensional, nonlinear viscoelasticityQuarterly of Applied Mathematics, 1977
- Existence and nonexistence in the large of solutions of quasilinear wave equationsArchive for Rational Mechanics and Analysis, 1967
- Waves in materials with memoryArchive for Rational Mechanics and Analysis, 1965
- Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential EquationsJournal of Mathematical Physics, 1964