DATE2016-10-19 16:10-17:00



TITLESecond order Elliptic Equations with Complex Coefficients: Quantitative Uniqueness Estimates, Variational Structure, and Size Estimate

ABSTRACT Second order elliptic equations with complex coefficients arise from some well-known physical models such as the electromagnetic waves propagating in a conductive medium. In this talk, I would like to discuss several topics about this type of equations. I will first talk about the unique continuation property for solutions of the complex second order elliptic equation. With the application to the size estimate problem in mind, the aim is to derive some quantitative uniqueness estimates of solutions. Unlike the real second order elliptic equation, to study the size estimate problem, we have to investigate the variational structure of the equation in a real-valued formulation.