Fourth-order damped wave equation with exponential growth nonlinearity
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Publication:512466
DOI10.1007/s00023-016-0512-7zbMath1379.35194OpenAlexW2472567076WikidataQ115609502 ScholiaQ115609502MaRDI QIDQ512466
Publication date: 24 February 2017
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00023-016-0512-7
Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Higher-order semilinear hyperbolic equations (35L76)
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Cites Work
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- The critical nonlinear wave equation in two space dimensions
- Blowing-up semilinear wave equation with exponential nonlinearity in two space dimensions
- A note on coupled nonlinear Schrödinger equations
- Global well-posedness of the Cauchy problem for a super-critical nonlinear wave equation in two space dimensions
- The global Cauchy problem for the nonlinear Klein-Gordon equation
- Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem
- Analyticity of the nonlinear scattering operator
- A sharp inequality of J. Moser for higher order derivatives
- Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
- Saddle points and instability of nonlinear hyperbolic equations
- Global solutions in the critical Sobolev space for the wave equations with nonlinearity of exponential growth
- Decay estimates for fourth order wave equations
- Stability and instability of fourth-order solitary waves
- Time decay for the nonlinear beam equation
- A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- On critical cases of Sobolev's inequalities
- Scattering and the Levandosky-Strauss conjecture for fourth-order nonlinear wave equations
- Well- and Ill-posedness Issues for a Class of 2D Wave Equation with Exponential Growth
- Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity
- A sufficient condition for finite time blow up of the nonlinear Klein-Gordon equations with arbitrarily positive initial energy
- Semi-linear wave equations
- A Weakly Nonlinear Analysis of Elasto-plastic-Microstructure Models
- Perte de régularité pour les équations d’ondes sur-critiques
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Local well posedness for strongly damped wave equations with critical nonlinearities
- Global well-posedness and linearization of a semilinear 2D wave equation with exponential type nonlinearity
- Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
- Adams' Inequality with the Exact Growth Condition in ℝ4
- Spatial patterns. Higher order models in physics and mechanics
