Three-sphere inequalities for 2D elliptic systems and applications

Jenn-Nan Wang
National Taiwan University


Date: November 7, 2005

In this talk I would like to discuss the three-sphere inequality for two-dimensional elliptic systems with two variables. The three-sphere inequality is quite well-known for second order scalar elliptic operators. A challenging problem is to derive this type of inequality for elliptic systems. Here we derive the three-sphere inequality for two-dimensional elliptic systems with two variables under some generic conditions. I will also discuss the application of the three-sphere inequality to inverse problems. This result is a recent joint work with Nakamura and Lin.