Finite speed of propagation and waiting time for local solutions of degenerate equations in viscoelastic media or heat flows with memory
type: Item
instance of: scholarly article
title: Finite speed of propagation and waiting time for local solutions of degenerate equations in viscoelastic media or heat flows with memory
zbMATH Open document ID: 1386.35257
DOI: 10.1007/BF03377402
author: Stanislav Antontsev
author: J. I. Díaz
published in: Journal of Elliptic and Parabolic Equations
publication date: 2018-01-25T00:00:00Z
Mathematics Subject Classification ID: 35K92
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 6829669
zbMATH Keywords: nonlocal equation
zbMATH Keywords: non-linear viscoelastic equation
zbMATH Keywords: finite speed of propagation
zbMATH Keywords: waiting time property
zbMATH Keywords: heat flows with memory
MaRDI profile type: Publication
cites work: On the existence of solutions to the equation \(u_{tt}=u_{xxt}+\sigma (u_x)_x\)
cites work: Evolution PDEs with Nonstandard Growth Conditions
cites work: On the evolution \(p\)-Laplacian with nonlocal memory
cites work: Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
cites work: Q4142200
cites work: Global attractor for a non-autonomous integro-differential equation in materials with memory
cites work: On trajectory and global attractors for semilinear heat equations with fading memory
cites work: Reaction-diffusion with memory in the minimal state framework
cites work: An abstract nonlinear Volterra integrodifferential equation
cites work: The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity
cites work: Finite time extinction for nonlinear fractional evolution equations and related properties
cites work: Global existence and blow-up analysis to a degenerate reaction-diffusion system with nonlinear memory
cites work: Weak solutions of a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials
cites work: Global existence and blow-up of solutions for \(p\)-Laplacian evolution equation with nonlinear memory term and nonlocal boundary condition
cites work: Q5539892
cites work: An Introduction to Variational Inequalities and Their Applications
cites work: Q3964969
cites work: General decay rate estimates for a semilinear parabolic equation with memory term and mixed boundary condition
cites work: Blow-up for semilinear parabolic equations with nonlinear memory
cites work: Global and blow-up of solutions for a quasilinear parabolic system with viscoelastic and source terms
cites work: Stability Theorems for a Class of Functional Differential Equations
cites work: Blow-up of solutions of a semilinear heat equation with a memory term
cites work: Q3369363
cites work: Q3912120
cites work: Q3916996
cites work: Evolutionary Integral Equations and Applications
cites work: Q3997763
cites work: On some nonlocal evolution equations in Banach spaces
cites work: Q5405653
cites work: Heat equations with memory
cites work: Energy inequalities and finite propagation speed of the Cauchy problem for hyperbolic equations withconstantly multiple characteristics
full work available at URL: https://doi.org/10.1007/bf03377402
OpenAlex ID: W2579704585
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description: scientific article; zbMATH DE number 6829669