My research is in the area of partial differential equations, primary concerned with Carleman estimates, unique continuation properties and
complexity of solutions to higher order elliptic and parabolic equations. I am also interested in the mathematical analysis of equations of
fluid mechanics with an emphasize on the Navier-Stokes equations and the primitive equations of the ocean.
Publications and Preprints:
Unique continuation and complexity of solutions to parabolic partial differential equations with Gevrey coefficients, with Igor Kukavica,
Advances in Differential Equations 15 (2010), 953-975.
Strong unique continuation for higher order elliptic equations with Gevrey coefficients, with Igor Kukavica, submitted to Journal of Differential Equations.
Strong unique continuation for the Navier Stokes equation with non-analytic forcing, with Igor Kukavica, sumbitted to Journal of Dynamics and Differential Equations.