Blow up and asymptotic behavior in a nondissipative nonlinear wave equation
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Publication:3191899
DOI10.1080/00036811.2013.859250zbMath1296.35091OpenAlexW1981436316MaRDI QIDQ3191899
Publication date: 25 September 2014
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2013.859250
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Wave equation (35L05) Blow-up in context of PDEs (35B44)
Related Items (7)
Nonexistence of global solutions of abstract wave equations with high energies ⋮ Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities ⋮ Global behavior of the solutions to nonlinear wave equations with combined power-type nonlinearities with variable coefficients ⋮ Blow-up in damped abstract nonlinear equations ⋮ Sign-preserving functionals and blow-up to Klein–Gordon equation with arbitrary high energy ⋮ Global behavior of the solutions to nonlinear Klein-Gordon equation with supercritical energy ⋮ Global behavior of the solutions to nonlinear Klein-Gordon equation with critical initial energy
Cites Work
- Time-periodic solutions of a nonlinear wave equation
- Invariant manifolds and dispersive Hamiltonian evolution equations
- Time-periodic solutions to the one-dimensional nonlinear wave equation
- On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms
- Optimal decay rates for solutions of a nonlinear wave equation with localized nonlinear dissipation of unrestricted growth and critical exponent source terms under mixed boundary conditions
- Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
- Global and blow-up solutions for a quasilinear hyperbolic equation with strong damping
- Local Hadamard well-posedness for nonlinear wave equations with supercritical sources and damping
- On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source
- Uniform estimates for solutions of nonlinear Klein-Gordon equations
- The effect of domain shape on the number of positive solutions of certain nonlinear equations
- Saddle points and instability of nonlinear hyperbolic equations
- On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations
- Existence and nonexistence of global solutions for the equation of dislocation of crystals
- Existence of a solution of the wave equation with nonlinear damping and source terms
- Multiplicity of periodic solutions of nonlinear wave equations.
- Qualitative analysis of a nonlinear wave equation
- Blow-up and critical exponents for nonlinear hyperbolic equations
- The dynamics of a nonlinear wave equation
- Symmetry breaking in a bounded symmetry domain
- Wave equations with strong damping in Hilbert spaces
- A class of fourth order wave equations with dissipative and nonlinear strain terms
- On potential wells and applications to semilinear hyperbolic equations and parabolic equations
- Global solutions and finite time blow up for damped semilinear wave equations
- Asymptotic stability of the wave equation on compact manifolds and locally distributed viscoelastic dissipation
- Global existence and decay of solutions of a nonlinear system of wave equations
- Dynamics of non-linear wave equations
- A sufficient condition for finite time blow up of the nonlinear Klein-Gordon equations with arbitrarily positive initial energy
- Initial boundary value problem for semilinear hyperbolic equations and parabolic equations with critical initial data
- WAVE EQUATION WITH SECOND-ORDER NON-STANDARD DYNAMICAL BOUNDARY CONDITIONS
- Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
- Some remarks on the wave equations with nonlinear damping and source terms
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