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Ching-Lung Lin

2008-10-16
15:30:00 - 16:30:00

Quantitative uniqueness for the Stokes Equations

405 , Mathematics Research Center Building (ori. New Math. Bldg.)

I would like to talk about a recent study on the local behavior of a solution to the Stokes Equations. One of the main results is the bound on the vanishing order of the pair of solution and pressure, which is a quantitative estimate of the strong unique continuation property. Our proofs use Carleman estimates with carefully chosen weights. We will derive optimal three-sphere inequalities and doubling inequalities.