Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive source
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Publication:5135766
DOI10.1070/IM8880zbMath1452.35048OpenAlexW2981642037WikidataQ115553519 ScholiaQ115553519MaRDI QIDQ5135766
Publication date: 23 November 2020
Published in: Izvestiya: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/im8880
Initial value problems for second-order hyperbolic equations (35L15) Abstract hyperbolic equations (35L90) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
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Cites Work
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- Blow-up for one Sobolev problem: theoretical approach and numerical analysis
- Destruction of solutions of wave equations in systems with distributed parameters
- Local solvability and blowup of the solution of the Rosenau-Bürgers equation with different boundary conditions
- On the nonextendable solution and blow-up of the solution of the one-dimensional equation of ion-sound waves in a plasma
- Solution blow-up in a nonlinear system of equations with positive energy in field theory
- On local solvability and blow-up of solutions of an abstract nonlinear Volterra integral equation
- Some new results on global nonexistence for abstract evolution with positive initial energy
- The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
- Global nonexistence for abstract evolution equations with positive initial energy
- Existence of a solution of the wave equation with nonlinear damping and source terms
- Global nonexistence theorems for quasilinear evolution equations with dissipation
- Global existence and nonexistence theorems for quasilinear evolution equations of formally parabolic type
- Non-existence of global solutions to nonlinear wave equations with positive initial energy
- Instantaneous blow-up versus local solvability for one problem of propagation of nonlinear waves in semiconductors
- Local solvability and solution blow-up of one-dimensional equations of the Yajima-Oikawa-Satsuma type
- Solution blowup for nonlinear equations of the Khokhlov-Zabolotskaya type
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Local solvability and solution blowup for the Benjamin-Bona-Mahony-Burgers equation with a nonlocal boundary condition
- Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
- Blow-up of solutions of an abstract Cauchy problem for a formally hyperbolic equation with double non-linearity
- Blow-up phenomena in the model of a space charge stratification in semiconductors: analytical and numerical analysis
- Blow-up in Nonlinear Sobolev Type Equations
- Blow-up of solutions of a class of strongly non-linear dissipative wave equations of Sobolev type with sources
- Blow up and global existence in a nonlinear viscoelastic wave equation
- Blow up of solutions of the Cauchy problem for a wave equation with nonlinear damping and source terms and positive initial energy
- Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities
- On the blow‐up phenomena for a 1‐dimensional equation of ion sound waves in a plasma: Analytical and numerical investigation
- Local Solvability and Decay of the Solution of an Equation with Quadratic Noncoercive Nonlineatity
- Blow-up of solutions of a class of strongly non-linear equations of Sobolev type
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Blow-up of solutions of strongly dissipative generalized Klein-Gordon equations
- Further Global Nonexistence Theorems for Abstract Nonlinear Wave Equations
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