77 citations · 253 across the 37 of their papers we have counts for
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math.AP2008
Smoothing estimates for the Schrodinger equation with unbounded potentials
Piero D'Ancona, Luca Fanelli
We prove a local in time smoothing estimate for a magnetic Schrodinger equation with coefficients growing polynomially at spatial infinity. The assumptions on the magnetic field ar…
math.AP2008★ 2 cited
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…