LOW REGULARITY WELL-POSEDNESS OF THE DIRAC–KLEIN–GORDON EQUATIONS IN ONE SPACE DIMENSION

DOI10.1142/S0219199708002740zbMath1159.35420arXivmath/0611718OpenAlexW2155791749MaRDI QIDQ3521632

Sigmund Selberg, Achenef Tesfahun

Publication date: 26 August 2008

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611718

zbMATH Keywords

Klein-Gordon equationDirac equationlocal well-posednessnull structure

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) PDEs in connection with quantum mechanics (35Q40)

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Cites Work

• A new proof of global existence for the Dirac Klein-Gordon equations in one space dimension
• Global solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac equations in one space dimension
• Space‐time estimates for null forms and the local existence theorem
• BILINEAR ESTIMATES AND APPLICATIONS TO NONLINEAR WAVE EQUATIONS
• Low regularity solutions for a class of nonlinear wave equations