Lower and upper bounds for lifespan of solutions to viscoelastic hyperbolic equations with variable sources and damping terms
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Publication:2068083
DOI10.1186/s13660-019-2251-zzbMath1499.35413OpenAlexW2984065306WikidataQ126808460 ScholiaQ126808460MaRDI QIDQ2068083
Publication date: 19 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-019-2251-z
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Blow-up in context of PDEs (35B44)
Cites Work
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- A lower bound for the blow-up time to a viscoelastic hyperbolic equation with nonlinear sources
- Finite-time blow-up and extinction rates of solutions to an initial Neumann problem involving the \(p(x,t)\)-Laplace operator and a non-local term
- Lebesgue and Sobolev spaces with variable exponents
- Blow-up of solutions to quasilinear parabolic equations with singular absorption and a positive initial energy
- Blow-up for parabolic and hyperbolic problems with variable exponents
- Decay estimates for some semilinear damped hyperbolic problems
- Existence of a solution of the wave equation with nonlinear damping and source terms
- Electrorheological fluids: modeling and mathematical theory
- Regularity results for stationary electro-rheological fluids
- Lower and upper bounds for the blow-up time for nonlinear wave equation with variable sources
- Lower bounds for blow-up time of two nonlinear wave equations
- A lower bound for the blow-up time to a damped semilinear wave equation
- Singular phenomena of solutions for nonlinear diffusion equations involving \(p(x)\)-Laplace operator and nonlinear sources
- Existence and decay of solutions of a viscoelastic equation with a nonlinear source
- Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
- Existence, uniqueness and blowup for hyperbolic equations with nonstandard growth conditions
- Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
- Blow up and global existence in a nonlinear viscoelastic wave equation
- Global existence and uniform stability of solutions for a quasilinear viscoelastic problem