26 citations · 36 across the 8 of their papers we have counts for
7 papers · 1 filter
Atlas of products for wave-Sobolev spaces on
Piero D'Ancona, Damiano Foschi, Sigmund Selberg
The wave-Sobolev spaces are -based Sobolev spaces on the Minkowski space-time , with Fourier weights are adapted to the symbol of the d'Alembertian. They a…
Null structure and almost optimal local well-posedness of the Maxwell-Dirac system
Piero D'Ancona, Damiano Foschi, Sigmund Selberg
We uncover the full null structure of the Maxwell-Dirac system in Lorenz gauge. This structure, which cannot be seen in the individual component equations, but only when considerin…
Local well-posedness below the charge norm for the Dirac-Klein-Gordon system in two space dimensions
Piero D'Ancona, Damiano Foschi, Sigmund Selberg
We prove that the Cauchy problem for the Dirac-Klein-Gordon equations in two space dimensions is locally well-posed in a range of Sobolev spaces of negative index for the Dirac spi…
Null structure and almost optimal local well-posedness of the Dirac-Klein-Gordon system
Piero D'Ancona, Damiano Foschi, Sigmund Selberg
We prove almost optimal local well-posedness for the coupled Dirac-Klein-Gordon (DKG) system of equations in 1+3 dimensions. The proof relies on the null structure of the system, c…
Maximizers for the Strichartz inequality
Damiano Foschi
We compute explicitely the best constants and, by solving some functional equations, we find all maximizers for homogeneous Strichartz estimates for the Schrodinger equation and fo…
Inhomogeneous Strichartz estimates
Damiano Foschi
We look for the optimal range of Lebesque exponents for which inhomogeneous Strichartz estimates are valid. We show that it is larger than the one given by admissible exponents for…