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math.AP2013★ 10 cited
Low regularity local well-posedness for the Maxwell-Klein-Gordon equations in Lorenz gauge
Hartmut Pecher
The Cauchy problem for the Maxwell-Klein-Gordon equations in Lorenz gauge in two and three space dimensions is locally well-posed for low regularity data without finite energy. The…
math.AP2013
Local well-posedness for the nonlinear Dirac equation in two space dimensions
Hartmut Pecher
The Cauchy problem for the cubic nonlinear Dirac equation in two space dimensions is locally well-posed for data in H^s for s > 1/2. The proof given in spaces of Bourgain-Klainerma…