scientific article

zbMath0486.35049MaRDI QIDQ3946530

Jean Ginibre, Giorgio Velo

Publication date: 1982

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1982__36_1_59_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

local existenceLorentz gaugegeneralized energy estimatesmethod of a priori estimatesgauge invariant self interactionclassical Yang Mills field

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Constructive quantum field theory (81T08) Partial differential equations of mathematical physics and other areas of application (35Q99) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

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Cites Work

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• The Cauchy problem for the Yang-Mills equations
• The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge
• Some global solutions of the Yang-Mills equations in Minkowski space
• The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties
• Non-linear semi-groups
• Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in $3+1$ dimensions