Soliton resolution for the energy-critical nonlinear wave equation in the radial case
From MaRDI portal
Publication:6067398
DOI10.1007/s40818-023-00159-4zbMath1529.35304arXiv2203.09614OpenAlexW4309066675MaRDI QIDQ6067398
Publication date: 14 December 2023
Published in: Annals of PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.09614
Asymptotic behavior of solutions to PDEs (35B40) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Initial value problems for second-order hyperbolic equations (35L15) Soliton solutions (35C08) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Profiles for the radial focusing energy-critical wave equation in odd dimensions
- Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation
- Description of two soliton collision for the quartic gKdV equation
- 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
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Dynamic of threshold solutions for energy-critical NLS
- Scattering theory in the energy space for a class of nonlinear wave equations
- The concentration-compactness principle in the calculus of variations. The limit case. I
- On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model
- Slow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equation
- Convergence of solutions of H-systems or how to blow bubbles
- On the evolution of harmonic mappings of Riemannian surfaces
- Scattering for semilinear wave equations with small data in three space dimensions
- Asymptotic analysis of soliton problems. An inverse scattering approach
- Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
- Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
- Ein nichtlinearer Interpolationssatz und seine Anwendung auf nichtlineare Wellengleichungen
- Decay estimates for the critical semilinear wave equation
- Regularity results for nonlinear wave equations
- Rigidity in the harmonic map heat flow
- Inelasticity of soliton collisions for the 5D energy critical wave equation
- Two-bubble dynamics for threshold solutions to the wave maps equation
- Profiles for the radial focusing \(4d\) energy-critical wave equation
- Repulsion and quantization in almost-harmonic maps, and asymptotic of the harmonic map flow
- On existence and scattering with minimal regularity for semilinear wave equations
- Global and unique weak solutions of nonlinear wave equations
- Generalized Strichartz inequalities for the wave equation
- On singularities of the heat flow for harmonic maps from surfaces into spheres
- Profiles of bounded radial solutions of the focusing, energy-critical wave equation
- Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation
- Scattering profile for global solutions of the energy-critical wave equation
- Decay estimates for nonradiative solutions of the energy-critical focusing wave equation
- Soliton resolution for critical co-rotational wave maps and radial cubic wave equation
- An asymptotic expansion of two-bubble wave maps in high equivariance classes
- Exterior energy bounds for the critical wave equation close to the ground state
- 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
- Construction of two-bubble solutions for the energy-critical NLS
- Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation
- Inelastic interaction of nearly equal solitons for the quartic gKdV equation
- Classification of the radial solutions of the focusing, energy-critical wave equation
- Energy partition for the linear radial wave equation
- Full range of blow up exponents for the quintic wave equation in three dimensions
- A (concentration-)compact attractor for high-dimensional nonlinear Schrödinger equations
- Decay and asymptotics for \(\square u = F(u)\)
- Non-linear semi-groups
- Stability and Unconditional Uniqueness of Solutions for Energy Critical Wave Equations in High Dimensions
- Global dynamics away from the ground state for the energy-critical nonlinear wave equation
- A center-stable manifold for the energy-critical wave equation in ℝ3 in the symmetric setting
- Fourier Analysis and Nonlinear Partial Differential Equations
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- On the regularity of spherically symmetric wave maps
- On the Soliton Resolution for Equivariant Wave Maps to the Sphere
- Dynamics of Threshold Solutions for Energy-Critical Wave Equation
- The emergence of solitons of the korteweg-de vries equation from arbitrary initial conditions
- Regularity of harmonic maps from the Minkowski space into rotationally symmetric manifolds
- Description of the lack of compactness for the Sobolev imbedding
- High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
- Bubbling of the heat flows for harmonic maps from surfaces
- Asymptotic decomposition for semilinear Wave and equivariant wave map equations
- Construction of two-bubble solutions for energy-critical wave equations
- On blowup for semilinear wave equations with a focusing nonlinearity
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Classical and Multilinear Harmonic Analysis
- Universality of Blow up Profile for Small Blow up Solutions to the Energy Critical Wave Map Equation
- Characterization of large energy solutions of the equivariant wave map problem: I
- On the focusing critical semi-linear wave equation
- Existence and uniqueness of minimal blow-up solutions to an inhomogeneous mass critical NLS
- Time decay for the nonlinear Klein-Gordon equation
- The global Cauchy problem for a relativistic scalar field with power interaction
- Decay and scattering of solutions of a nonlinear relativistic wave equation
- Soliton resolution for the radial critical wave equation in all odd space dimensions
- Continuous time soliton resolution for two-bubble equivariant wave maps
