#### APRG Seminar

##### Venue: LH-1, Mathematics Department

Let $\Omega\subset\mathbb{R}^d$ be a unbounded domain. A positive harmonic function u in $\Omega$ that vanishes on the boundary $\partial\Omega$ is called a Martin function on $\Omega$. In this talk, we will discuss various analytic and geometric aspects of Martin functions, namely how fast they grow at infinity, maximum on a slice, and convexity properties of their level lines. If time permits, we will also present a inverse balayage problem from Potential theory.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 29 Mar 2023