Speaker: Kyeong, Jeongsu – PhD student at temple University

Title: The Neumann Problem for the bi-Laplacian in Infinite Sectors

Abstract: The study of boundary value problems associated with the bi-Laplacian operator $\Delta^{2}$ has attracted over the years a great deal of mathematical interest and this plays an important role in the theory of elasticity, specifically in the Kirchhoff-Love theory of thin plates. The goal of this talk is to investigate the solvability of the $L^{p}$ Neumann problem for the bi-Laplacian, for $p\in(1,\infty)$, in infinite sectors in two dimensions, using singular integral operators and Mellin transform techniques.

This is joint work with Irina Mitrea (Temple University) and Katharine Ott (Bates College).

Zoom Link

https://oist.zoom.us/j/94767284731?pwd=VXpXWC82VVJPQ1VpR1FPUGY0U0p6QT09