Optimal blowup stability for supercritical wave maps

DOI10.1016/j.aim.2023.109291zbMath1526.35085arXiv2201.11419MaRDI QIDQ6058873

Publication date: 1 November 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.11419

zbMATH Keywords

stability blow-up self-similar wave maps

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06) Second-order semilinear hyperbolic equations (35L71)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
A refined threshold theorem for \((1+2)\)-dimensional wave maps into surfaces
On stable self-similar blow up for equivariant wave maps: the linearized problem
Mode stability of self-similar wave maps in higher dimensions
Quantization of time-like energy for wave maps into spheres
A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta
Concentration compactness for critical wave maps
On the division problem for the wave maps equation
Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems
Scattering for radial, semi-linear, super-critical wave equations with bounded critical norm
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
Global regularity of wave maps from \(\mathbb{R}^{3+1}\) to surfaces
On the existence and stability of blowup for wave maps into a negatively curved target
Construction of type II blowup solutions for the 1-corotational energy supercritical wave maps
Concentration compactness for critical radial wave maps
Two-bubble dynamics for threshold solutions to the wave maps equation
Smoothing estimates for null forms and applications
On blowup of co-rotational wave maps in odd space dimensions
On the stability of blowup solutions for the critical corotational wave-map problem
Blowup stability at optimal regularity for the critical wave equation
Optimal polynomial blow up range for critical wave maps
Generic self-similar blowup for equivariant wave maps and Yang-Mills fields in higher dimensions
Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation
On the well-posedness of the wave map problem in high dimensions
Renormalization and blow up for charge one equivariant critical wave maps
Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system
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
Formation of singularities for equivariant (2+1)-dimensional wave maps into the 2-sphere
A proof for the mode stability of a self-similar wave map
UNCONDITIONAL WELL-POSEDNESS FOR WAVE MAPS
A class of large global solutions for the wave-map equation
On stable self-similar blowup for equivariant wave maps
On the Soliton Resolution for Equivariant Wave Maps to the Sphere
Weak solutions and development of singularities of the SU(2) σ‐model
Local and global results for wave maps I
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
Ill-posedness for one-dimensional wave maps at the critical regularity
Dispersion and collapse of wave maps
Asymptotic decomposition for semilinear Wave and equivariant wave map equations
Rough solutions for the wave maps equation
Hyperboloidal Similarity Coordinates and a Globally Stable Blowup Profile for Supercritical Wave Maps
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
Characterization of large energy solutions of the equivariant wave map problem: II
Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations
Equivariant self-similar wave maps from Minkowski spacetime into 3-sphere
Global regularity of wave maps. II: Small energy in two dimensions

This page was built for publication: Optimal blowup stability for supercritical wave maps