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1. Fourier multiplier, function space X [superscript]s [subscript]p,q
2. Navier-Stokes equation
3. Strichartz estimates for linear dispersive equations
4. Local and global wellposedness for nonlinear dispersive equations
5. The low regularity theory for the nonlinear dispersive equations
6. Frequency-uniform decomposition techniques
7. Conservations, Morawetz' estimates of nonlinear Schrödinger equations
8. Boltzmann equation without angular cutoff.

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