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Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations

https://doi.org/10.1137/0505015
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Equations Differentielles Operationnelles
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Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics

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Global existence and nonexistence of the initial–boundary value problem for the dissipative Boussinesq equation
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Global existence and blow up of solution for semilinear hyperbolic equation with logarithmic nonlinearity
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Kirchhoff-type system with linear weak damping and logarithmic nonlinearities
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Global well-posedness, asymptotic behavior and blow-up of solutions for a class of degenerate parabolic equations
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Global behavior of the solutions to nonlinear wave equations with combined power-type nonlinearities with variable coefficients
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A sufficient condition for blowup of the nonlinear Klein–Gordon equation with positive initial energy in FLRW spacetimes
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Global existence and energy decay estimate of solutions for a higher-order Kirchhoff type equation with damping and source term
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Blow-up result in a Cauchy viscoelastic problem with strong damping and dispersive
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2015.05.015openalex-snapshot
Blow up of arbitrarily positive initial energy solutions for a viscoelastic wave equation
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The Cauchy problem for the dissipative Boussinesq equation
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A nonlinear viscoelastic plate equation with p ( x , t ) -Laplace operator: Blow up of solutions with negative initial energy
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On a singular parabolic p-biharmonic equation with logarithmic nonlinearity
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Remarks on the blow-up in linearly damped abstract wave equations
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Different aspects of blow-up property for a nonlinear wave equation
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Blow-up study of a nonlinear hyperbolic system with delay
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On global existence and nonexistence of solutions to a quasi-linear wave equation with memory, nonlinear damping and source terms
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On potential wells and vacuum isolating of solutions for semilinear wave equations
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Critical exponents for semilinear dissipative wave equations in RN
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Improperly Posed Problems for Nonlinear Partial Differential Equations
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References
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Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions
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Periodic boundary value problem and cauchy problem of the generalized cubic double dispersion equation
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Global existence, uniform decay and exponential growth for a class of semi-linear wave equation with strong damping
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A NOTE ON “THE CAUCHY PROBLEM FOR COUPLED IMBQ EQUATIONS”
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Blowing up and global existence of solutions for some degenerate nonlinear wave equations with some dissipation
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Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
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Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
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Stable and unstable sets for the Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
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Blow-up of solution of an initial boundary value problem for a damped nonlinear hyperbolic equation
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A Class of Fourth Order Damped Wave Equations with Arbitrary Positive Initial Energy
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A potential well theory for the wave equation with nonlinear source and boundary damping terms
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Blow-up for the wave equation with nonlinear source and boundary damping terms
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NONLINEAR WAVE EQUATIONS AND REACTION–DIFFUSION EQUATIONS WITH SEVERAL NONLINEAR SOURCE TERMS OF DIFFERENT SIGNS AT HIGH ENERGY LEVEL
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Cauchy problem for the generalized Benney-Luke equation
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Global existence of solutions of Cauchy problem for generalized system of nonlinear evolution equations arising from DNA
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General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms
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Cauchy problem for a damped generalized IMBq equation
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Nonexistence of global solution to Chern-Simons-Higgs system
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Global solutions and finite time blow-up for fourth order nonlinear damped wave equation
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A class of nonlinear parabolic equations with anisotropic nonstandard growth conditions
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Stable and unstable sets for damped nonlinear wave equations with variable exponent sources
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Asymptotic behavior of solutions for a quasilinear weakly damped wave equation with logarithmic nonlinearity
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Golbal nonexistence in a nonlinearly damped wave equation
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Global existence and decay of solutions of a nonlinear system of wave equations
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