A blowing up wave equation with exponential type nonlinearity and arbitrary positive energy
From MaRDI portal
Publication:401372
DOI10.1016/j.jmaa.2014.07.033zbMath1297.35055OpenAlexW2007441641MaRDI QIDQ401372
Publication date: 26 August 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.07.033
Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Related Items
Unnamed Item, Global well-posedness of solutions for 2-D Klein–Gordon equations with exponential nonlinearity, Local/global existence analysis of fractional wave equations with exponential nonlinearity, Global existence and blow up of the solution for nonlinear Klein-Gordon equation with general power-type nonlinearities at three initial energy levels, Non-global solutions for a class of fourth-order wave equations, Finite time blow-up for some nonlinear evolution equations, A note on global well-posedness and blow-up of some semilinear evolution equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The critical nonlinear wave equation in two space dimensions
- Strichartz type estimates and the well-posedness of an energy critical 2D wave equation in a bounded domain
- Global well-posedness of the Cauchy problem for a super-critical nonlinear wave equation in two space dimensions
- Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
- The global Cauchy problem for the nonlinear Klein-Gordon equation
- 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
- Regularity results for nonlinear wave equations
- The Cauchy problem for nonlinear Klein-Gordon equations in the Sobolev spaces
- The global Cauchy problem for the critical nonlinear wave equation
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Scattering threshold for the focusing nonlinear Klein-Gordon equation
- Global well-posedness and scattering of a 2D Schrödinger equation with exponential growth
- 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
- Regularity for the wave equation with a critical nonlinearity
- Perte de régularité pour les équations d’ondes sur-critiques
- Global well-posedness and linearization of a semilinear 2D wave equation with exponential type nonlinearity
- Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.
