77 citations · 253 across the 37 of their papers we have counts for
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math.AP2017
A short proof of commutator estimates
Piero D'Ancona
The goal of this note is to give, at least for a restricted range of indices, a short proof of homogeneous commutator estimates for fractional derivatives of a product, using class…
math.AP2017
On large potential perturbations of the Schrödinger, wave and Klein--Gordon equations
Piero D'Ancona
We prove a sharp resolvent estimate in scale invariant norms of Amgon--Hörmander type for a magnetic Schrödinger operator on , \begin{equation*} L=-(\partial…
math.AP2017
On the cubic Dirac equation with potential and the Lochak--Majorana condition
Piero D'Ancona, Mamoru Okamoto
We study a cubic Dirac equation on \begin{equation*} i \partial _t u + \mathcal{D} u + V(x) u = \langle βu,u \rangle βu \end{equation*} perturbed b…