A class of viscoelastic wave equations with exponential source and the nonlinear strong damping

Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)

Cites Work

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Blow-up phenomena for a nonlocal \(p\)-Laplace equation with Neumann boundary conditions
Hadamard well-posedness for wave equations with \(p\)-Laplacian damping and supercritical sources
Blow-up of solutions of a nonlinear viscoelastic wave equation
Energy decay of a viscoelastic wave equation with supercritical nonlinearities
Blow-up of a hyperbolic equation of viscoelasticity with supercritical nonlinearities
Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping
On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source
Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
Global existence and decay of energy for a nonlinear wave equation with \(p\)-Laplacian damping
Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
Bounds for lifespan of solutions to strongly damped semilinear wave equations with logarithmic sources and arbitrary initial energy
Lifespan of solutions to a damped plate equation with logarithmic nonlinearity
The lifespan of solutions for a viscoelastic wave equation with a strong damping and logarithmic nonlinearity
General decay properties of abstract linear viscoelasticity
Initial boundary value problem for a class of strongly damped semilinear wave equations with logarithmic nonlinearity
Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
On global solution of nonlinear hyperbolic equations
An abstract Volterra equation with applications to linear viscoelasticity
Asymptotic stability in viscoelasticity
Stability for the wave equation in an unbounded domain with finite measure and with nonlinearities of arbitrary growth
Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
Well-posedness for the 2-D damped wave equations with exponential source terms
On the strongly damped wave equation with memory
On weak solutions for an evolution equation with exponential nonlinearities
Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
Global existence and nonexistence for nonlinear wave equations with damping and source terms
On nonlinear wave equations with degenerate damping and source terms
Blow-up of solutions for a nonlinear viscoelastic wave equation with initial data at arbitrary energy level
Blow-up of generalized solutions to wave equations with nonlinear degenerate damping and source terms

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