Existence and blow-up of solutions for fractional wave equations of Kirchhoff type with viscoelasticity
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Publication:2062967
DOI10.3934/dcdss.2021125zbMath1480.35067OpenAlexW3209092537MaRDI QIDQ2062967
Publication date: 3 January 2022
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2021125
Initial-boundary value problems for second-order hyperbolic equations (35L20) Weak solutions to PDEs (35D30) Integro-differential operators (47G20) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)
Cites Work
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- Blow up in a nonlinear viscoelastic wave equation with strong damping
- Hitchhiker's guide to the fractional Sobolev spaces
- Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
- Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source
- Kirchhoff-type differential inclusion problems involving the fractional Laplacian and strong damping
- Infinitely many radial solutions for a super-cubic Kirchhoff type problem in a ball
- Blow up of solutions of a nonlinear viscoelastic wave equation
- Global nonexistence for nonlinear Kirchhoff systems
- Existence of solutions for nonlinear parabolic problem with \(p(x)\)-growth
- Nonexistence of global solutions of some quasilinear hyperbolic equations
- Fractional quantum mechanics and Lévy path integrals
- Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian
- Systems of nonlinear wave equations with nonlinear viscosity
- Multiplicity of solutions for variable-order fractional Kirchhoff equations with nonstandard growth
- Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems
- Variational analysis for nonlocal Yamabe-type systems
- Blow up and blow up time for degenerate Kirchhoff-type wave problems involving the fractional Laplacian with arbitrary positive initial energy
- Global existence and blow up of solutions for pseudo-parabolic equation with singular potential
- Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation
- The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term
- Long-time behavior of a class of viscoelastic plate equations
- Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations
- Correction to: ``Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity
- Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
- Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
- Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
- A critical Kirchhoff type problem involving a nonlocal operator
- Non-local Diffusions, Drifts and Games
- Nonlinear Diffusion with Fractional Laplacian Operators
- Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Global well-posedness for strongly damped viscoelastic wave equation
- Some non-linear evolution equations
- A critical fractional Choquard–Kirchhoff problem with magnetic field
