The Cauchy problem for space-time monopole equations in Sobolev spaces

DOI10.1063/1.5022866zbMath1388.58023OpenAlexW2802716000MaRDI QIDQ4639397

Jihyun Yim, Hyungjin Huh

Publication date: 9 May 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5022866

zbMATH Keywords

Sobolev spaceCauchy problemspace-time monopole equations

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spinor and twistor methods applied to problems in quantum theory (81R25) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (1)

Large time behavior of solutions to space-time monopole equations in 1 + 1 dimensions

Cites Work

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• Local well-posedness for the space-time monopole equation in Lorenz gauge
• Local and global well posedness for the Chern-Simons-Dirac system in one dimension.
• Global solutions to space-time monopole equations in one space dimension
• Local wellposedness for the \(2+1\)-dimensional monopole equation
• Well-posedness for nonlinear Dirac equations in one dimension
• Uniqueness of weak solutions of \(1+1\) dimensional wave maps
• Twistors in 2+1 dimensions
• Almost critical local well-posedness for the space-time monopole equation in Lorenz gauge
• ON THE GROWTH RATE OF SOLUTIONS TO GROSS-NEVEU AND THIRRING EQUATIONS

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