Electromagnetic Schrödinger flow: multiplier methods for dispersion

Fanelli, Luca

Journées équations aux dérivées partielles (2010), article no. 7, 13 p.

We show a list of results which have been recently obtained about dispersive properties of the electromagnetic Schrödinger flow. We introduce a general philosophy, based on multiplier technique, which permits to detect the bad parts of an electromagnetic potential which can possibly affect the dispersion.

Mots clés : electric potentials, magnetic potentials, virial identities, Schrödinger operators, spectral theory

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