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On Periodic Approximation of Quasi-Periodic Sturm-Liouville Operators and Korteweg-de Vries equations with quasi-periodic initial data

4:00 pm Thursday, September 19, 2013
Michael Goldstein (University of Toronto)

This talk will review results on quasi-periodic Sturm-Liouville operators developed in recent joint works with D.Damanik. The talk will start with a short review of classical result on periodic case (Hill equation). The similarities and differences between periodic and quasi-periodic cases will be outlined. The central part of the talk concerns with estimates relating the Fourier coefficients of the potential and the sizes of the gaps in the spectrum. Applications to Korteweg-de Vries equation with quasi-periodic initial data will be also discussed.

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