Threshold phenomenon for the quintic wave equation in three dimensions
DOI10.1007/s00220-014-1900-9zbMath1297.35139arXiv1209.0347OpenAlexW2091600697MaRDI QIDQ2447596
Kenji Nakanishi, Joachim Krieger, Wilhelm Schlag
Publication date: 28 April 2014
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.0347
global solutionquintic wave equationblow up phenomenonenergy-critical focusing nonlinear wave equation
Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Related Items (19)
Cites Work
- Nonscattering solutions and blowup at infinity for the critical wave equation
- Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation
- Invariant manifolds and dispersive Hamiltonian evolution equations
- Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case
- Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption
- Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
- Dynamic of threshold solutions for energy-critical NLS
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Slow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equation
- Linearization near an integral manifold
- Saddle points and instability of nonlinear hyperbolic equations
- Profiles of bounded radial solutions of the focusing, energy-critical wave equation
- Global dynamics of the nonradial energy-critical wave equation above the ground state energy
- Scattering threshold for the focusing nonlinear Klein-Gordon equation
- Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation
- Center-stable manifold of the ground state in the energy space for the critical wave equation
- Bifurcations of topological type at singular points of parametrized vector fields
- Instability of steady states for nonlinear wave and heat equations
- Global dynamics above the ground state energy for the cubic NLS equation in 3D
- Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation
- Global dynamics away from the ground state for the energy-critical nonlinear wave equation
- Dynamics of Threshold Solutions for Energy-Critical Wave Equation
- High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
- On blowup for semilinear wave equations with a focusing nonlinearity
- On the focusing critical semi-linear wave equation
- Unnamed Item
- Unnamed Item
This page was built for publication: Threshold phenomenon for the quintic wave equation in three dimensions