Upper and lower bounds of blowup time to a strongly damped wave equation of Kirchhoff type with memory term and nonlinear dissipations
From MaRDI portal
Publication:723832
DOI10.1007/s00009-018-1161-5zbMath1400.35039OpenAlexW2803209359MaRDI QIDQ723832
Amir Peyravi, Faramarz Tahamtani
Publication date: 24 July 2018
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-018-1161-5
Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (45K05) Nonlinear constitutive equations for materials with memory (74D10) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72)
Related Items
Blow-up and lifespan of solutions for a nonlinear viscoelastic Kirchhoff equation, Lower bounds for blow up time of the p-Laplacian equation with damping term
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global existence, uniform decay and exponential growth for a class of semi-linear wave equations with strong damping
- Global nonexistence of solutions for viscoelastic wave equations of Kirchhoff type with high energy
- Blow-up of positive-initial-energy solutions for an integro-differential equation with nonlinear damping
- Stable and unstable sets for evolution of parabolic and hyperbolic type
- Global existence and global nonexistence of solutions of the Cauchy problem for a nonlinearly damped wave equation
- Existence of a solution of the wave equation with nonlinear damping and source terms
- On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms
- On global solutions and blow-up solutions of nonlinear Kirchhoff strings with nonlinear dissipation
- Existence and nonexistence of global solutions of some system of semilinear wave equations
- Global nonexistence theorems for a class of evolution equations with dissipation
- Lower bounds for blow-up time in a class of nonlinear wave equations
- A lower bound for the blow-up time to a damped semilinear wave equation
- 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 Klein-Gordon equation
- On global existence and blow-up of solutions for an integro-differential equation with strong damping
- On potential wells and applications to semilinear hyperbolic equations and parabolic equations
- 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 continuity of functions with values in various Banach spaces
- On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation
- Well-posedness for a class of Kirchhoff equations with damping and memory terms
- A blow-up result for Kirchhoff-type equations with high energy
- On the strongly damped wave equation with nonlinear damping and source terms
- On a quasilinear wave equation with memory
