Low regularity local well-posedness for the higher-dimensional Yang-Mills equation in Lorenz gauge

zbMath1437.35598MaRDI QIDQ2178046

Hartmut Pecher

Publication date: 7 May 2020

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ade/1554256826

zbMATH Keywords

well-posednessYang-Mills equationLorenz gauge

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Second-order nonlinear hyperbolic equations (35L70) Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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