Non-existence results for a semilinear hyperbolic problem with boundary condition of memory type
From MaRDI portal
Publication:1578914
DOI10.4171/ZAA/961zbMath0986.35071MaRDI QIDQ1578914
Mukhtar Bin Muhammad Kirane, Nasser-eddine Tatar
Publication date: 16 June 2002
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/49196
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)
Related Items (18)
Uniform decay of solution for wave equation of Kirchhoff type with nonlinear boundary damping and memory term ⋮ Uniform stabilization of an axially moving Kirchhoff string by a boundary control of memory type ⋮ On a boundary controller of fractional type ⋮ Blow-up for logarithmic viscoelastic equations with delay and acoustic boundary conditions ⋮ Exponential growth of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms ⋮ Existence and uniform decay rates of solutions to a degenerate system with memory conditions at the boundary. ⋮ A blow-up result in a Cauchy viscoelastic problem ⋮ Existence and asymptotic stability of a viscoelastic wave equation with a delay ⋮ Exponential growth for wave equation with fractional boundary dissipation and boundary source term ⋮ Unboundedness for the Euler-Bernoulli beam equation with a fractional boundary dissipation ⋮ Blow up of positive initial energy solutions for a wave equation with fractional boundary dissipation ⋮ Control of a riser through the dynamic of the vessel ⋮ On the exponential stability of a nonlinear Kuramoto-Sivashinsky-Korteweg-de Vries equation with finite memory ⋮ A decay result to a viscoelastic problem in Rn with an oscillating kernel ⋮ Stabilisation of a viscoelastic beam conveying fluid ⋮ Large time behavior of solutions to a class of hyperbolic inequalities with mixed nonlinearities ⋮ Global existence, asymptotic behavior, and uniform attractor for a nonautonomous equation ⋮ Exponential growth for a fractionally damped wave equation
Cites Work
- Collapse of the solutions of parabolic and hyperbolic equations with nonlinear boundary conditions
- The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
- Existence of a solution of the wave equation with nonlinear damping and source terms
- An estimate of the interval of existence of solutions of the nonlinear Kirchhoff equation
- On some positive definite forms and volterra integral operators
- A memory type boundary stabilization of a mildly damped wave equation
This page was built for publication: Non-existence results for a semilinear hyperbolic problem with boundary condition of memory type
