Weak Solutions of Hyperbolic-Parabolic Volterra Equations
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Publication:4305945
DOI10.2307/2154736zbMath0817.45011OpenAlexW4230650416MaRDI QIDQ4305945
Publication date: 13 October 1994
Full work available at URL: https://doi.org/10.2307/2154736
Integro-partial differential equations (45K05) Singular nonlinear integral equations (45G05) Dynamical problems in solid mechanics (74Hxx)
Related Items (4)
Global well-posedness and blow-up solutions of the Cauchy problem for a time-fractional superdiffusion equation ⋮ Global smooth solutions for a class of parabolic integrodifferential equations ⋮ Quasilinear evolutionary equations and continuous interpolation spaces. ⋮ Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation
Cites Work
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- Global existence of solutions of Volterra integrodifferential equations of parabolic type
- Weak solutions of a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials
- The Cauchy problem in one-dimensional nonlinear viscoelasticity
- Volterra integro-differential equations with accretive nonlinearity
- On a class of quasilinear partial integrodifferential equations with singular kernels
- Development of singularities in the motion of materials with fading memory
- Positivity and regularity of hyperbolic Volterra equations in Banach spaces
- Coercive estimates and existence of solutions for a model of one- dimensional viscoelasticity with a non-integrable memory function
- On Volterra equations of the first kind
- Integrodifferential equation which interpolates the heat equation and the wave equation. II
- Some existence results for a nonlinear hyperbolic integrodifferential equation with singular kernel
- On an integrodifferential Volterra equation with a maximal monotone mapping
- Nonlinear Volterra equation of parabolic type due to singular kernels
- Integrodifferential equation which interpolates the heat equation and the wave equation
- Global existence of smooth shearing motions of a nonlinear viscoelastic fluid
- Nonexistence of Smooth Solutions for Shearing Flows in a Nonlinear Viscoelastic Fluid
- On wave propagation in linear viscoelasticity
- Global Existence and Asymptotic Stability for a Semilinear Hyperbolic Volterra Equation with Large Initial Data
- Weak solutions for a nonlinear system in viscoelasticity
- A Model Equation for Viscoelasticity with a Strongly Singular Kernel
- Energy methods for nonlinear hyperbolic volterra integrodifferential equations
- On a Nonlinear Hyperbolic Volterra Equation
- A model for one-dimensional, nonlinear viscoelasticity
- An Existence Result on a Volterra Equation in a Banach Space
- Smoothing Properties of Linear Volterra Integrodifferential Equations
- Breakdown of smooth solutions in dissipative nonlinear hyperbolic equations
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