## EVENT DETAILS AND ABSTRACT

**Analysis Seminar**
**Title:** Weak anisotropic Hardy inequalities and essential self-adjointness of drift-diffusion operators

**Speaker:** Irina Nenciu

**Speaker Info:** UIC

**Brief Description:**

**Special Note**:

**Abstract:**

We consider the problem of essential self-adjointness of the drift-diffusion operator
$H=-\frac{1}{\rho}\nabla\cdot\mathbb{D}\nabla+V$ on domains $\Omega\subset\mathbb{R}^d$. We give criteria showing how the behavior as $x\to\partial\Omega$ of the coefficients $\rho$, $\mathbb{D}$, and $V$ balances to ensure self-adjointness of $H$ by using a new, weak anisotropic Hardy inequality. This talk is based on joint work with G. Nenciu (Institute of Mathematics of the Romanian Academy, Bucharest).

**Date:** Monday, October 16, 2023

**Time:** 4:10pm

**Where:** Lunt 105

**Contact Person:** Prof. Jared Wunsch

**Contact email:** jwunsch@math.northwestern.edu

**Contact Phone:** 847-491-5580

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