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On global solution of nonlinear hyperbolic equations

https://doi.org/10.1007/bf00250942
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/9783527617210openalex-snapshot
Methods of Mathematical Physics
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On solutions of nonlinear wave equations
inferredcites →https://doi.org/10.1002/mana.3210040121openalex-snapshot
Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
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Partial Differential Equations
inferredcites →https://doi.org/10.1007/bf00250928openalex-snapshot
Stability of nonlinear hyperbolic equations
inferredcites →https://doi.org/10.1090/mmono/007openalex-snapshot
Applications of functional analysis in mathematical physics
inferredcites →https://doi.org/10.1093/hesc/9780199205356.003.0014openalex-snapshot
Partial differential equations

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A note on “Well-posedness of solutions for a class of quasilinear wave equations with structural damping or strong damping” [Chaos Solitons Fractals 163 (2022) 112553]
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On the solution behavior of a nonlinear time-fractional Klein–Gordon equation: Theoretical study and numerical validation
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Blow-up of solutions to a quasilinear wave equation for high initial energy
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A class of fast diffusion p-Laplace equation with arbitrarily high initial energy
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Polynomial decay of a internal nonlinear damping structurally acoustic models with variable coefficients
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On energy wave equations with non-negative non-linear terms
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Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term
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A class of fourth order wave equations with dissipative and nonlinear strain terms
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Global existence to the initial–boundary value problem for a system of nonlinear diffusion and wave equations
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Blow-up for a damped p-Laplacian type wave equation with logarithmic nonlinearity
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Classification of blow-up and global existence of solutions to an initial Neumann problem
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On the asymptotic behavior of solutions to a structural acoustics model
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Global quantitative stability of wave equations with strong and weak dampings
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Local Hadamard well-posedness, global existence, finite time blow-up, and vacuum isolating phenomena for a generalized Lamé system
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Global well-posedness and conditional asymptotic stability for a coupled wave–MGT system with logarithmic nonlinearity
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Existence result for a class of semilinear totally characteristic hypoelliptic equations with conical degeneration
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Existence and asymptotic stability for evolution problems on manifolds with damping and source terms
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Fourth order wave equations with nonlinear strain and source terms
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Potential well method for Cauchy problem of generalized double dispersion equations
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Blow up of critical semilinear wave equations on Schwarzschild spacetime
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Finite time blow-up and global solutions for fourth order damped wave equations
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Global existence and nonexistence of solution for Cauchy problem of two-dimensional generalized Boussinesq equations
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Invariance and existence analysis for semilinear hyperbolic equations with damping and conical singularity
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Global existence and blow-up of solutions to a nonlocal parabolic equation with singular potential
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Finite time blow-up and global existence for the nonlocal complex Ginzburg–Landau equation
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Asymptotic behavior and blow-up of solutions for infinitely degenerate semilinear parabolic equations with logarithmic nonlinearity
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On potential wells to a semilinear hyperbolic equation with damping and conical singularity
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Stability of wave equation with locally viscoelastic damping and nonlinear boundary source
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Global existence and blowup of solutions to semilinear fractional reaction-diffusion equation with singular potential
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The Cauchy problem for Schrödinger-damped Boussinesq system
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Existence of solution for a class of heat equation with double criticality
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Blow-up phenomena for a class of fourth order parabolic equation
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Some sharp results about the global existence and blowup of solutions to a class of coupled pseudo-parabolic equations
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Global existence, blow-up and asymptotic behavior of solutions for a class of p(x)-Choquard diffusion equations in R N
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Asymptotic behavior of solutions for a new general class of parabolic Kirchhoff type equation with variable exponent sources
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Blow-up and decay for a class of pseudo-parabolic equation with p-Laplacian operator and nonlinearity source
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Blow-up and global existence for a new class of parabolic p(x,⋅)-Kirchhoff equation involving double phase operator
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Global existence and blow-up for a p-Laplacian wave equation with logarithmic nonlinearity and singular dissipation
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On potential wells and application to a pseudo-parabolic equation with Newtonian potential
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On a general class of p(x)-Kirchhoff equations with nonstandard growth conditions
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Nonlinear parabolic equations with critical initial conditions J(u0)=d OR I(u0)=01
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On potential wells and applications to semilinear hyperbolic equations and parabolic equations
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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
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Blow-up of solutions of a semilinear hyperbolic equation and a parabolic equation with general forcing term and boundary condition
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On global solution of an initial boundary value problem for a class of damped nonlinear equations
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The Cauchy problem for the Rosenau equation
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Global existence and blow-up phenomena for a nonlinear wave equation
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Existence and nonexistence of global solutions for a class of nonlinear wave equations of higher order
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Global existence and decay for nonlinear dissipative wave equations with a derivative nonlinearity
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Blow up in a nonlinear viscoelastic wave equation with strong damping
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Invariant sets and the blow up threshold for a nonlocal equation of parabolic type
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Global existence and blow-up of solutions for higher-order viscoelastic wave equation with a nonlinear source term
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Global nonexistence of positive initial energy solutions for a viscoelastic wave equation
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The Dirichlet–Cauchy problem for nonlinear hyperbolic equations in a domain with edges
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