Infinite energy solutions for the \((3+1)\)-dimensional Yang-Mills equation in Lorenz gauge

DOI10.3934/CPAA.2019033zbMath1406.35313OpenAlexW2896664259WikidataQ129033172 ScholiaQ129033172MaRDI QIDQ1633407

Hartmut Pecher

Publication date: 20 December 2018

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

Full work available at URL: https://doi.org/10.3934/cpaa.2019033

zbMATH Keywords

local well-posednessYang-MillsLorenz gauge

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items (2)

On the global dynamics of Yang-Mills-Higgs equations ⋮ Low Regularity Well-Posedness for the Yang--Mills System in Fourier--Lebesgue Spaces

Cites Work

• Unnamed Item
• Local well-posedness of Yang-Mills equations in Lorenz gauge below the energy norm
• Local well-posedness for the \((n + 1)\)-dimensional Yang-Mills and Yang-Mills-Higgs system in temporal gauge
• Null structure and local well-posedness in the energy class for the Yang-Mills equations in Lorenz gauge
• Local well-posedness of the Yang--Mills equation in the temporal gauge below the energy norm
• Finite energy solutions of the Yang-Mills equations in \(\mathbb{R}^{3+1}\)
• Generalized Strichartz inequalities for the wave equation
• Finite energy global well-posedness of the Yang-Mills equations on \(\mathbb{R}^{1+3}\): an approach using the Yang-Mills heat flow
• Global well-posedness for the Yang-Mills equation in \(4+1\) dimensions. Small energy.
• Null structure and almost optimal local well-posedness of the Maxwell-Dirac system
• Finite-Energy Global Well-Posedness of the Maxwell–Klein–Gordon System in Lorenz Gauge
• On the optimal local regularity for the Yang-Mills equations in ℝ⁴⁺¹
• BILINEAR ESTIMATES AND APPLICATIONS TO NONLINEAR WAVE EQUATIONS
• Global regularity for the Yang–Mills equations on high dimensional Minkowski space
• Atlas of products for wave-Sobolev spaces on ℝ¹⁺³
• GAUGE CHOICE FOR THE YANG–MILLS EQUATIONS USING THE YANG–MILLS HEAT FLOW AND LOCAL WELL-POSEDNESS IN H¹

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