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Saddle points and instability of nonlinear hyperbolic equations
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Outgoing claims: the papers this work cites, builds on, or argues with.
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On solutions of nonlinear wave equations
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Stability of nonlinear hyperbolic equations
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Some nonexistence and instability theorems for solutions of formally parabolic equations of the form Put=−Au+ℱ(u)
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Blow-up theorems for nonlinear wave equations
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Topics in Stability and Bifurcation Theory
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Instability and nonexistence of global solutions to nonlinear wave equations of the form 𝑃𝑢_{𝑡𝑡}=-𝐴𝑢+ℱ(𝓊)
inferredcites →https://doi.org/10.1137/0505015openalex-snapshot
Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
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A Note on a Nonexistence Theorem for Nonlinear Wave Equations
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Existence and Nonexistence of Global Solutions for Nonlinear Parabolic Equations
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Some nonlinear evolution equations of second order
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Global existence, asymptotic behaviour, and global non-existence of solutions for damped non-linear wave equations of Kirchhoff type in the whole space
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Existence and Nonexistence of Global Solutions for the Equation of Dislocation of Crystals
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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 Solutions of Nonlinear Wave Equations in Three Space Dimensions
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Finite Time Blow Up of the Solutions to Nonlinear Wave Equations with Sign-Changing Nonlinearities
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II.5. Wave Operators – Part II
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Sharp Criteria for Wave Collapse and Wave Collapse Ideology in Application to Optical Pulses Compression
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Nonlinear Schrödinger equation with combined power-type nonlinearities and harmonic potential
inferred← citeshttps://doi.org/10.1007/s10625-005-0188-0openalex-snapshot
On Global Positive Solutions of Parabolic Equations with a Sign-Indefinite Nonlinearity
inferred← citeshttps://doi.org/10.1007/s10688-008-0019-1openalex-snapshot
Sharp conditions of global existence for the quasilinear Schrödinger equation
inferred← citeshttps://doi.org/10.1007/s10883-007-9031-7openalex-snapshot
Breakdown for a Kirchhoff-type Beam with a Fractional Boundary Feedback
inferred← citeshttps://doi.org/10.1007/s10883-008-9050-zopenalex-snapshot
Nonhomogeneos Boundary-Value Problem for Semilinear Hyperbolic Equation. Stability
inferred← citeshttps://doi.org/10.1007/s10883-017-9366-7openalex-snapshot
Lower and Upper Bounds for the Blow-Up Time of a Class of Damped Fourth-Order Nonlinear Evolution Equations
inferred← citeshttps://doi.org/10.1007/s10883-020-09495-1openalex-snapshot
Blow-Up Phenomena for a Fourth-Order Parabolic Equation with a General Nonlinearity
inferred← citeshttps://doi.org/10.1007/s10883-022-09602-4openalex-snapshot
Singular Solutions in a p(x)-Laplace Equation with Multi-sources
inferred← citeshttps://doi.org/10.1007/s10883-024-09679-zopenalex-snapshot
A Note on a Mixed Pseudo-Parabolic Kirchhoff Equation with Logarithmic Damping
inferred← citeshttps://doi.org/10.1007/s10884-016-9531-9openalex-snapshot
Variational Methods in Semilinear Wave Equation with Nonlinear Boundary Conditions and Stability Questions
inferred← citeshttps://doi.org/10.1007/s10884-023-10278-yopenalex-snapshot
Global Existence and Blow-up Solutions for a Parabolic Equation with Critical Nonlocal Interactions
inferred← citeshttps://doi.org/10.1007/s11071-013-1116-0openalex-snapshot
Exact conditions of blow-up and global existence for the nonlinear wave equation with damping and source terms
inferred← citeshttps://doi.org/10.1007/s11071-025-12080-5openalex-snapshot
Nonlinear diffusion equations on graphs: global well-posedness, blow-up analysis and applications
inferred← citeshttps://doi.org/10.1007/s11401-008-0294-4openalex-snapshot
Instability of standing waves for Hamiltonian wave equations
inferred← citeshttps://doi.org/10.1007/s11401-016-1073-2openalex-snapshot
Flat solutions of some non-Lipschitz autonomous semilinear equations may be stable for N ≥ 3
inferred← citeshttps://doi.org/10.1007/s11401-024-0034-4openalex-snapshot
Bresse Beam with Damping and Logarithmic Source
inferred← citeshttps://doi.org/10.1007/s11425-017-9280-xopenalex-snapshot
Global well-posedness of coupled parabolic systems
inferred← citeshttps://doi.org/10.1007/s11425-025-2546-3openalex-snapshot
Global well-posedness for semilinear heat equations with linear or nonlinear boundary dissipation
inferred← citeshttps://doi.org/10.1007/s11464-022-1025-yopenalex-snapshot
Global solutions and blow-up for a class of strongly damped wave equations systems
inferred← citeshttps://doi.org/10.1007/s11511-008-0031-6openalex-snapshot
Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
inferred← citeshttps://doi.org/10.1007/s11565-025-00617-wopenalex-snapshot
Global existence, blow-up, and exponential decay for a class of finitely degenerate semilinear parabolic equations with logarithmic nonlinearity
inferred← citeshttps://doi.org/10.1007/s11766-015-3083-3openalex-snapshot
Existence and asymptotic behavior for systems of nonlinear hyperbolic equations
inferred← citeshttps://doi.org/10.1007/s11785-018-0841-2openalex-snapshot
Damped Non-linear Coupled Schrödinger Equations
inferred← citeshttps://doi.org/10.1007/s11868-012-0046-9openalex-snapshot
Global existence and nonexistence for semilinear parabolic equations with conical degeneration
inferred← citeshttps://doi.org/10.1007/s11868-017-0216-xopenalex-snapshot
Global existence, exponential decay and finite time blow-up of solutions for a class of semilinear pseudo-parabolic equations with conical degeneration
inferred← citeshttps://doi.org/10.1007/s11868-022-00489-0openalex-snapshot
A note on the inhomogeneous fourth-order Schrödinger equation
inferred← citeshttps://doi.org/10.1007/s11868-026-00781-3openalex-snapshot
Inverse source problem for p-Harmonic pseudoparabolic equation
inferred← citeshttps://doi.org/10.1007/s11868-026-00825-8openalex-snapshot
Global existence and blow-up for a class of parabolic or pseudo-parabolic equations with viscoelastic term
inferred← citeshttps://doi.org/10.1007/s12190-011-0491-2openalex-snapshot
Global well-posedness for semilinear hyperbolic equations with dissipative term
inferred← citeshttps://doi.org/10.1007/s12346-020-00387-0openalex-snapshot
Global Existence and Singularity of the N-Body Problem with Strong Force
inferred← citeshttps://doi.org/10.1007/s12591-021-00563-xopenalex-snapshot
Global Existence and Uniform Decay of Solutions for a Kirchhoff Beam Equation with Nonlinear Damping and Source Term
inferred← citeshttps://doi.org/10.1007/s12591-023-00675-6openalex-snapshot
Wellposedness and Scattering for Some Bi-inhomogeneous Schrödinger–Choquard Equation with Linear Damping
inferred← citeshttps://doi.org/10.1007/s12591-026-00777-xopenalex-snapshot
Semigroup Well-posedness and Exponential Stability for the Wave Equation With Source and Logarithmic Damping Terms
inferred← citeshttps://doi.org/10.1007/s13324-021-00566-5openalex-snapshot
Blow-up of solutions to a fourth-order parabolic equation with/without p-Laplician and general nonlinearity modeling epitaxial growth
inferred← citeshttps://doi.org/10.1007/s13324-021-00625-xopenalex-snapshot
Global existence and blow up of solutions for the Cauchy problem of some nonlinear wave equations
inferred← citeshttps://doi.org/10.1007/s13324-022-00659-9openalex-snapshot
Asymptotic estimates of weak solutions for a parabolic p(x)-Laplace equation with variable exponents and absorption
inferred← citeshttps://doi.org/10.1007/s13324-026-01254-yopenalex-snapshot
Finite time blow-up for the semilinear parabolic equation with a memory term
inferred← citeshttps://doi.org/10.1007/s13540-023-00179-8openalex-snapshot
Global existence and finite time blowup for a fractional pseudo-parabolic p-Laplacian equation
inferred← citeshttps://doi.org/10.1007/s40065-017-0192-2openalex-snapshot
Coupled nonlinear Schrödinger equations with harmonic potential
inferred← citeshttps://doi.org/10.1007/s40065-018-0217-5openalex-snapshot
On coupled nonlinear Schrödinger systems
inferred← citeshttps://doi.org/10.1007/s40065-022-00411-yopenalex-snapshot
Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms
inferred← citeshttps://doi.org/10.1007/s40324-019-00202-0openalex-snapshot
Finite time blow-up for some nonlinear evolution equations
inferred← citeshttps://doi.org/10.1007/s40590-020-00292-1openalex-snapshot
Inhomogeneous nonlinear high-order evolution equations
inferred← citeshttps://doi.org/10.1007/s40590-021-00326-2openalex-snapshot
A note on Choquard equations in two space dimensions
inferred← citeshttps://doi.org/10.1007/s40840-024-01793-2openalex-snapshot
General Decay and Blow-up Results for a Thermo-viscoelastic System with Logarithmic Nonlinearity
inferred← citeshttps://doi.org/10.1007/s40863-025-00510-6openalex-snapshot
Global existence, asymptotic bihavior and blow-up of solutions for parabolic equations involving the $$p(x)-$$Laplacian under Robin boundary conditions
inferred← citeshttps://doi.org/10.1007/s40879-023-00654-9openalex-snapshot
Blow-up solutions of damped Klein–Gordon equation on the Heisenberg group
inferred← citeshttps://doi.org/10.1007/s41808-017-0009-7openalex-snapshot
Asymptotics for a class of coupled fractional heat equations
inferred← citeshttps://doi.org/10.1007/s41808-022-00162-zopenalex-snapshot
Existence and non-existence of global solutions of pseudo-parabolic equations involving p(x)-Laplacian and logarithmic nonlinearity
inferred← citeshttps://doi.org/10.1007/s41808-025-00369-wopenalex-snapshot
Blow-up rate and time in a nonlinear coupled fourth-order parabolic problem
inferred← citeshttps://doi.org/10.1007/s41980-021-00529-3openalex-snapshot
Qualitative Study in a Parabolic Equation with Nonstandard Growth Conditions and Singular Medium Void
inferred← citeshttps://doi.org/10.1007/s44198-021-00010-zopenalex-snapshot
Global Existence and Blow-Up for the Pseudo-parabolic p(x)-Laplacian Equation with Logarithmic Nonlinearity
inferred← citeshttps://doi.org/10.1016/0021-9991(87)90091-xopenalex-snapshot
A spectral method for nonlinear wave equations
inferred← citeshttps://doi.org/10.1016/0022-0396(83)90065-7openalex-snapshot
Stable and unstable manifolds for the nonlinear wave equation with dissipation
inferred← citeshttps://doi.org/10.1016/0022-0396(84)90174-8openalex-snapshot
Some existence and nonexistence theorems for solutions of degenerate parabolic equations
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