Interests

My main mathematical interests are in applications of Harmonic Analysis to PDEs and Mathematical Physics. I am particularly interested in oscillatory and singular integrals and integral operators.

Publications:

1. (with M.B. Erdogan) "Dispersive estimates for the Schrodinger equation for C^(n-3)/2 potentials in odd dimensions ", preprint 2009, accepted by IMRN.   [pdf]
2. "Exponential decay of dispersion managed Solitons for positive average dispersion", (in preparation). [This is an extension of the results of Erdogan, Hundertmark and Lee in their paper on the vanishing average dispersion case.]

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