Low regularity local solutions for field equations

DOI10.1080/03605309608821176zbMath0852.35098OpenAlexW2064581896MaRDI QIDQ4872519

Michael Beals, Max Bezard

Publication date: 9 December 1996

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309608821176

zbMATH Keywords

Dirac-Klein-Gordon equationscoupled wave equations

Mathematics Subject Classification ID

Related Items (11)

Local existence of energy class solutions for the dirac—klein—gordon equations ⋮ On local existence for nonlinear wave equations satisfying variable coefficient null conditions ⋮ Low-regularity integrators for nonlinear Dirac equations ⋮ A vector field method for some nonlinear Dirac models in Minkowski spacetime ⋮ Interaction of low regularity waves^∗ ⋮ Null structure and almost optimal local regularity for the Dirac-Klein-Gordon system ⋮ Null form estimates for ( 1/2,1/2 ) symbols and local existence for a quasilinear Dirichlet-wave equation ⋮ On global well-posedness and scattering for the massive Dirac-Klein-Gordon system ⋮ Bilinear space-time estimates for homogeneous wave equations ⋮ A sharp counterexample to the local existence of low-regularity solutions to nonlinear wave equations ⋮ Low regularity semi—linear wave equations¹

Cites Work

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• Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Regularity results for nonlinear wave equations
• Non-linear semi-groups
• Blow-up for solutions of □u=|u|^pwith small initial data.
• Local regularity of nonlinear wave equations in three space dimensions

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