The threshold theorem for the $(4+1)$-dimensional Yang–Mills equation: An overview of the proof (Q4631425)

scientific article; zbMATH DE number 7045320

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English	The threshold theorem for the $(4+1)$-dimensional Yang–Mills equation: An overview of the proof	scientific article; zbMATH DE number 7045320

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instance of

scholarly article

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title

The threshold theorem for the $(4+1)$-dimensional Yang–Mills equation: An overview of the proof (English)

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Bulletin of the American Mathematical Society

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publication date

29 March 2019

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full work available at URL

https://arxiv.org/abs/1709.09088

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zbMATH Keywords

Yang-Mills equation

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threshold theorem

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dichotomy theorem

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MaRDI profile type

MaRDI publication profile

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cites work

Q4255122

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The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties

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The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. II. Completion of proof

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Q5185713

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Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity

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Regularity for the wave equation with a critical nonlinearity

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Q4537523

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Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation

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Space‐time estimates for null forms and the local existence theorem

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On the Maxwell-Klein-Gordon equation with finite energy

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Finite energy solutions of the Yang-Mills equations in $\mathbb{R}^{3+1}$

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On the optimal local regularity for the Yang-Mills equations in ℝ⁴⁺¹

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Renormalization and blow up for the critical Yang-Mills problem

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Concentration compactness for the critical Maxwell-Klein-Gordon equation

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Concentration compactness for critical wave maps

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Global regularity for the Yang–Mills equations on high dimensional Minkowski space

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Global well-posedness for the Maxwell-Klein-Gordon equation in $4+1$ dimensions: small energy

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Global well-posedness for the Yang-Mills equation in $4+1$ dimensions. Small energy.

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A refined threshold theorem for $(1+2)$-dimensional wave maps into surfaces

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Q5444685

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Almost optimal local well-posedness for the (3+1)-dimensional Maxwell–Klein–Gordon equations

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GAUGE CHOICE FOR THE YANG–MILLS EQUATIONS USING THE YANG–MILLS HEAT FLOW AND LOCAL WELL-POSEDNESS IN H<sup>1</sup>

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Finite energy global well-posedness of the Yang-Mills equations on $\mathbb{R}^{1+3}$: an approach using the Yang-Mills heat flow

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Global well-posedness and scattering of the (4+1)-dimensional Maxwell-Klein-Gordon equation

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Local well-posedness of the $(4 + 1)$-dimensional Maxwell-Klein-Gordon equation at energy regularity

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Energy dispersed solutions for the (4 + 1)-dimensional Maxwell-Klein-Gordon equation

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Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems

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Global regularity for the Maxwell-Klein-Gordon equation with small critical Sobolev norm in high dimensions

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Long-time behaviour of the Yang-Mills flow in four dimensions

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Null structure and local well-posedness in the energy class for the Yang-Mills equations in Lorenz gauge

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Regularity results for nonlinear wave equations

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Solutions to Yang—Mills equations that are not self-dual

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Energy dispersed large data wave maps in $2+1$ dimensions

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Regularity of wave-maps in dimension $2+1$

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The Yang-Mills flow in four dimensions

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Variational Methods

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Global regularity of wave maps. II: Small energy in two dimensions

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Q4671476

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On global existence and scattering for the wave maps equation

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Rough solutions for the wave maps equation

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Connections with $L^ p $bounds on curvature

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Removable singularities in Yang-Mills fields

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Identifiers

zbMATH Open document ID

1420.35273

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DOI

10.1090/bull/1640

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4631425