Dynamics of the focusing critical wave equation

DOI10.5802/slsedp.97zbMath1362.35189OpenAlexW2566880981MaRDI QIDQ513797

Thomas Duyckaerts

Publication date: 7 March 2017

Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/01e100f682152397ac49eb090e4357f5e51d362a

zbMATH Keywords

energy critical wave equationsoliton resolution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Blow-up in context of PDEs (35B44) Soliton solutions (35C08) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

Profiles for bounded solutions of dispersive equations, with applications to energy-critical wave and Schrödinger equations

Cites Work

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• On blowup in supercritical wave equations
• Construction of multi-solitons for the energy-critical wave equation in dimension 5
• Construction of type II blow-up solutions for the energy-critical wave equation in dimension 5
• Nonscattering solutions and blowup at infinity for the critical wave equation
• Exotic blowup solutions for the \(u^5\) focusing wave equation in \(\mathbb{R}^{3}\)
• Construction of two-bubble solutions for some energy-critical wave equations
• Blow-up behavior outside the origin for a semilinear wave equation in the radial case
• Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case
• Large energy entire solutions for the Yamabe equation
• Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
• Regularity of wave-maps in dimension \(2+1\)
• Non-generic blow-up solutions for the critical focusing NLS in 1-D
• On a conformally invariant elliptic equation on \(R^ n\)
• Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
• Decay estimates for the critical semilinear wave equation
• Regularity results for nonlinear wave equations
• Global and unique weak solutions of nonlinear wave equations
• Generalized Strichartz inequalities for the wave 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
• Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation
• Soliton resolution along a sequence of times for the focusing energy critical wave equation
• Full range of blow up exponents for the quintic wave equation in three dimensions
• Existence and universality of the blow-up profile for the semilinear wave equation in one space dimension
• Spacetimes bounds for the energy-critical nonlinear wave equation in three spatial dimensions
• Stability and Unconditional Uniqueness of Solutions for Energy Critical Wave Equations in High Dimensions
• Construction of a Multisoliton Blowup Solution to the Semilinear Wave Equation in One Space Dimension
• Dynamics of Threshold Solutions for Energy-Critical Wave Equation
• The emergence of solitons of the korteweg-de vries equation from arbitrary initial conditions
• Regularity for the wave equation with a critical nonlinearity
• Energy estimates and the wave map problem
• High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
• On blowup for semilinear wave equations with a focusing nonlinearity
• Instability of type II blow up for the quintic nonlinear wave equation on $R^3+1$
• On the focusing critical semi-linear wave equation

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