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Parametrix construction and Strichartz estimates for Schr\"odinger equations with variable coefficients

Haruya Mizutani
(RIMS Kyoto University)
Analyseseminar
Fredag, 24 februar, 2012, at 14:15-15:15, in Koll. D (1531-211)
Abstrakt:
We consider Schr\"odinger equations with variable coefficients and unbounded potentials. In particular, we construct outgoing and incoming parametrices for the propagator (locally in time), and give applications to Strichartz estimates. The basic idea is to combine the semiclassical approximation of Isozaki-Kitada type with the standard WKB approximation.
Kontaktperson: Erik Skibsted