Uniqueness of <scp>Two‐Bubble</scp> Wave Maps in High Equivariance Classes

DOI10.1002/cpa.22046zbMath1529.35303arXiv2003.05835OpenAlexW4221057915MaRDI QIDQ6049539

Jacek Jendrej, Andrew Lawrie

Publication date: 11 October 2023

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05835

zbMATH Keywords

harmonic mapsequivariance classthreshold energy wave map

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Initial value problems for second-order hyperbolic equations (35L15) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Hyperbolic equations on manifolds (58J45) Critical points of functions and mappings on manifolds (58K05) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A refined threshold theorem for \((1+2)\)-dimensional wave maps into surfaces
• Blow up for the critical gKdV equation. II: Minimal mass dynamics
• Description of two soliton collision for the quartic gKdV equation
• Concentration compactness for critical wave maps
• Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems
• Dynamic of threshold solutions for energy-critical NLS
• Energy dispersed large data wave maps in \(2+1\) dimensions
• Regularity of wave-maps in dimension \(2+1\)
• On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model
• Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
• On the asymptotic behavior of spherically symmetric wave maps
• On the regularity properties of a model problem related to wave maps
• Inelasticity of soliton collisions for the 5D energy critical wave equation
• Two-bubble dynamics for threshold solutions to the wave maps equation
• Smoothing estimates for null forms and applications
• Threshold dynamics for corotational wave maps
• On the stability of blowup solutions for the critical corotational wave-map problem
• Construction of two-bubble solutions for the energy-critical NLS
• Inelastic interaction of nearly equal solitons for the quartic gKdV equation
• Renormalization and blow up for charge one equivariant critical wave maps
• Global regularity of wave maps from \(\mathbb{R}^{2+1}\) to \(H^{2}\). Small energy
• On global existence and scattering for the wave maps equation
• An Introduction to the Theory of Wave Maps and Related Geometric Problems
• 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
• Regularity of harmonic maps from the Minkowski space into rotationally symmetric manifolds
• Local and global results for wave maps I
• Uniqueness for critical nonlinear wave equations and wave maps via the energy inequality
• Space‐time estimates for null forms and the local existence theorem
• On the cauchy problem for equivariant wave maps
• Remark on the optimal regularity for equations of wave maps type
• Equivariant wave maps in two space dimensions
• BILINEAR ESTIMATES AND APPLICATIONS TO NONLINEAR WAVE EQUATIONS
• Nonexistence of two-bubbles with opposite signs for the radial energy-critical wave equation
• Asymptotic decomposition for semilinear Wave and equivariant wave map equations
• Construction of two-bubble solutions for energy-critical wave equations
• Topological Solitons
• Dynamics of bubbling wave maps with prescribed radiation
• Characterization of large energy solutions of the equivariant wave map problem: I
• Characterization of large energy solutions of the equivariant wave map problem: II
• Existence and uniqueness of minimal blow-up solutions to an inhomogeneous mass critical NLS
• Asymptotic N -soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations
• Global regularity of wave maps. II: Small energy in two dimensions
• Continuous time soliton resolution for two-bubble equivariant wave maps

This page was built for publication: Uniqueness of <scp>Two‐Bubble</scp> Wave Maps in High Equivariance Classes