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Global Strichartz and smoothing estimates for rough Schrodinger equations

Mathematical Physics & Probability

Speaker: Jason Metcalfe, UC Berkeley
Location: 1147 MSB
Start time: Tue, Nov 21 2006, 2:10PM

I will talk about recent work with J. Marzuola and D. Tataru. We prove some frequency localized smoothing estimates for Schrodinger equations with C^2 asymptotically flat coefficients. In particular, we make no assumptions on the trapping and prove the said estimates outside of the region where the trapping may occur, modulo lower order error terms. We then use a long time parametrix construction of Tataru to prove global-in-time Strichartz estimates on this same region.