Nonlinear stability of homothetically shrinking Yang-Mills solitons in the equivariant case
From MaRDI portal
Publication:5131839
DOI10.1080/03605302.2020.1743308zbMath1452.35035arXiv1910.03306OpenAlexW3015170196MaRDI QIDQ5131839
Birgit Schörkhuber, Irfan Glogić
Publication date: 9 November 2020
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.03306
Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Soliton solutions (35C08) Self-similar solutions to PDEs (35C06)
Related Items (2)
Stable blowup for the supercritical hyperbolic Yang-Mills equations ⋮ Stable singularity formation for the Keller-Segel system in three dimensions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stable self-similar blow up for energy subcritical wave equations
- Mode stability of self-similar wave maps in higher dimensions
- Semigroups of linear operators and applications to partial differential equations
- Spectral theory of ordinary differential operators
- Bounds on the number of eigenvalues of the Schrödinger operator
- Existence of the self-similar solutions in the heat flow of harmonic maps
- Finite time blowing-up for the Yang-Mills gradient flow in higher dimensions
- Singularities of first kind in the harmonic map and Yang-Mills heat flows
- On the stability of type II blowup for the 1-corotational energy-supercritical harmonic heat flow
- Singularity formation of the Yang-Mills flow
- Stable self-similar blowup in the supercritical heat flow of harmonic maps
- Perturbation theory for linear operators.
- Singularity formation in the Yang-Mills flow
- Corrigendum to: ``Singularity formation of the Yang-Mills Flow
- Long-time existence for Yang-Mills flow
- Stable blowup for the supercritical Yang-Mills heat flow
- Quantized slow blow-up dynamics for the corotational energy-critical harmonic heat flow
- Geometric evolution equations in critical dimensions
- Entropy, stability, and Yang–Mills flow
- Nonexistence of Shrinkers for the Harmonic Map Flow in Higher Dimensions
- Shrinkers, expanders, and the unique continuation beyond generic blowup in the heat flow for harmonic maps between spheres
- Construction of a spectrally stable self-similar blowup solution to the supercritical corotational harmonic map heat flow
- Global existence of the equivariant Yang-Mills heat flow in four space dimensions
- One-Parameter Semigroups for Linear Evolution Equations
- Linear Stability of the Skyrmion
- Classical and Multilinear Harmonic Analysis
- Stable Blowup Dynamics for the 1‐Corotational Energy Critical Harmonic Heat Flow
- Type II Blow-up Mechanism for Supercritical Harmonic Map Heat Flow
- Stabilities of homothetically shrinking Yang-Mills solitons
- SOBOLEV INEQUALITIES WITH SYMMETRY
- Finite time blow-up for the Yang-Mills heat flow in higher dimensions
This page was built for publication: Nonlinear stability of homothetically shrinking Yang-Mills solitons in the equivariant case
