Global well-posedness and scattering for the cubic Dirac equation with small initial data in
the critical space H^ 1 2 (R^ 2 H 1 2 (R 2) is established. The proof is based on a sharp …

We consider the inhomogeneous Dirichlet initial-boundary value problem for the one
dimensional Thirring model. We prove the local existence of solutions and global existence …

On global well-posedness and scattering for the massive Dirac–Klein–Gordon system Page 1
DOI 10.4171/JEMS/721 J. Eur. Math. Soc. 19, 2445–2467 c European Mathematical Society …

In this paper, we study the Cauchy problem of 2d Dirac equation with Hartree type
nonlinearity c (|⋅|− γ⁎< ψ, β ψ>) β ψ with c∈ R∖{0}, 0< γ< 2. Our aim is to show the small …

We construct the causal (forward/backward) propagators for the massive Klein-Gordon
equation perturbed by a first order operator which decays in space but not necessarily in …

Firstly, bilinear Fourier restriction estimates—which are well known for free waves—are
extended to adapted spaces of functions of bounded quadratic variation, under quantitative …

We study the initial–boundary value problem (IBV) for the cubic nonlinear Dirac equation in
one space dimension {i (∂ t+ α∂ x) ψ+ β ψ=< β ψ, ψ> β ψ, x> 0, t> 0, ψ (x, 0)= ψ 0 (x), ψ (0 …

We study the point spectrum of the nonlinear Dirac equation in any spatial dimension,
linearized at one of the solitary wave solutions. We prove that, in any dimension, the …

In this paper, we consider the Maxwell-Dirac system in 3 dimension under zero magnetic
field. We prove the global well-posedness and modified scattering for small solutions in the …

Abstract We consider Wave Maps into the sphere and give a new proof of small data global
well-posedness and scattering in the critical Besov space, in any space dimension …