Lifespan of solutions to a hyperbolic type Kirchhoff equation with arbitrarily high initial energy
From MaRDI portal
Publication:2075911
DOI10.1016/j.jmaa.2022.126023zbMath1483.35049OpenAlexW4206781977WikidataQ115570176 ScholiaQ115570176MaRDI QIDQ2075911
Publication date: 16 February 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126023
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
- Unnamed Item
- Unnamed Item
- On a global solution of some quasilinear hyperbolic equation
- Global solvability for the degenerate Kirchhoff equation with real analytic data
- On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity
- Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
- Existence and nonexistence of global solutions of some system of semilinear wave equations
- Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian
- Nonlinear wave equation with both strongly and weakly damped terms: supercritical initial energy finite time blow up
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Upper and lower bounds of blow-up time to a parabolic type Kirchhoff equation with arbitrary initial energy
- Initial boundary value problem for a class of strongly damped semilinear wave equations with logarithmic nonlinearity
- Degenerate Kirchhoff-type wave problems involving the fractional Laplacian with nonlinear damping and source terms
- Asymptotic stability for nonlinear damped Kirchhoff systems involving the fractional \(p\)-Laplacian operator
- Blow-up of solutions to a class of Kirchhoff equations with strong damping and nonlinear dissipation
- Global solutions and finite time blow up for damped semilinear wave equations
- Blow-up of solutions for some non-linear wave equations of Kirchhoff type with some dissipation
- On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation
- A blow-up result for Kirchhoff-type equations with high energy
- On global solvability of non‐linear viscoelastic equations in the analytic category
- Blowing up and global existence of solutions for some degenerate nonlinear wave equations with some dissipation
- On the mildly degenerate Kirchhoff string