Blow-up and global existence for solution of quasilinear viscoelastic wave equation with strong damping and source term
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Publication:1678180
DOI10.1186/s13661-017-0796-7zbMath1379.35192OpenAlexW2610816529WikidataQ59525579 ScholiaQ59525579MaRDI QIDQ1678180
Publication date: 14 November 2017
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-017-0796-7
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)
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Cites Work
- Unnamed Item
- Blow up in a nonlinear viscoelastic wave equation with strong damping
- Global nonexistence of positive initial energy solutions for a viscoelastic wave equation
- Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density
- Cauchy problem for a nonlinear viscoelastic equation with nonlinear damping and source terms
- Blow-up of solutions of a nonlinear viscoelastic wave equation
- Exponential energy decay of solutions of viscoelastic wave equations
- General decay and blow-up of solution for a quasilinear viscoelastic problem with nonlinear source
- Saddle points and instability of nonlinear hyperbolic equations
- Decay rates for viscoelastic plates with memory
- Global existence and asymptotic stability for viscoelastic problems
- General decay rate estimates for viscoelastic dissipative systems
- Exponential and polynomial decay for a quasilinear viscoelastic equation
- 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 and uniform decay for a non-linear viscoelastic equation with strong damping
- Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
- Blow up and global existence in a nonlinear viscoelastic wave equation
