Local existence for a viscoelastic Kirchhoff type equation with the dispersive term, internal damping, and logarithmic nonlinearity
From MaRDI portal
Publication:6091081
DOI10.7494/opmath.2024.44.1.19zbMath1527.35006MaRDI QIDQ6091081
No author found.
Publication date: 23 November 2023
Published in: Opuscula Mathematica (Search for Journal in Brave)
Initial-boundary value problems for second-order hyperbolic equations (35L20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- On a global solution of some quasilinear hyperbolic equation
- Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity
- Kirchhoff-type system with linear weak damping and logarithmic nonlinearities
- Global existence of solutions for the viscoelastic Kirchhoff equation with logarithmic source terms
- Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation
- Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
- Degenerate Kirchhoff-type wave problems involving the fractional Laplacian with nonlinear damping and source terms
- General decay and blow-up of solutions for a system of viscoelastic equations of Kirchhoff type with strong damping
- Asymptotic stability in viscoelasticity
- A well posedness result for nonlinear viscoelastic equations with memory
- Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms
- ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS
- Global existence and blow up of solution for semi-linear hyperbolic equation with the product of logarithmic and power-type nonlinearity
- Global existence and uniform stability of solutions for a quasilinear viscoelastic problem
- Qualitative properties of solution to a viscoelastic Kirchhoff-like plate equation
- Improved growth estimate of infinite time blowup solution for a semilinear hyperbolic equation with logarithmic nonlinearity
