Non-concentration for Neumann eigenfunctions in planar domains

Time：Fri., 10:00-11:00am, Apr. 28, 2023

Venue：Zoom ID: 618-038-6257; PW: SCMS

Organizer：Chen Xi(Fudan), Long Jin(Tsinghua)

Speaker：Hans Christianson University of North Carolina, Chapel Hill

Abstract

In this talk, I will discuss several new results on non-concentration of Neumann eigenfunctions in shrinking neighborhoods of planar domains. The main result is a sharp estimate in a neighborhood of a corner point, but I will also discuss some other results in smoother situations. The main tools are a Rellich commutator argument and an induction argument to control boundary error terms. This is joint work with John Toth.

About the speaker

I am a Professor at UNC, studying semiclassical analysis and partial differential equations. I am part of the UNC Analysis and PDE research group which is funded in part by NSF RTG grant DMS-2135998 “Partial Differential Equations on Manifolds”.

DATEApril 28, 2023

Related News

0
Non-concentration for Neumann eigenfunctions in planar domains
Abstract In this talk, I will discuss several new results on non-concentration of Neumann eigenfunctions in shrinking neighborhoods of planar domains. The main result is a sharp estimate in a neighborhood of a corner point, but I will also discuss some other results in smoother situations. The main tools are a Rellich commutator argument and an induction argument to control boundary error terms...
1
Quantitative homogenization of convex Hamilton-Jacobi equations with Neumann type boundary conditions
Organizer：荆文甲Speaker：Panrui Ni 倪盼睿复旦大学上海数学中心/日本东京大学数学系Time：Fri., 9:00-10:00amFeb. 28, 2025Venue：C548, Shuangqing Complex Building ATitle: Quantitative homogenization of convex Hamilton-Jacobi equations with Neumann type boundary conditionsAbstract：We study the periodic homogenization for convex Hamilton-Jacobi equations on perforated domains under the Neumann type ...