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

Jeongsu Kyeong
Graduate Student, Dept. of Mathematics, Temple University

Tuesday, August 22, 2023, 3:00-4:00 PM ET (1:00-2:00 PM MT)

A video of this talk will be made available to NIST staff in the Math channel on NISTube, which is accessible from the NIST internal home page. It will be taken down from NISTube after 12 months at which point it can be requested by emailing the ACMD Seminar Chair.

Abstract: The study of boundary value problems associated with the bi-Laplacian operator ∆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 ∈ (1, ∞), in infinite sectors in two dimensions, using singular integral operators and Mellin transform techniques. This is joint work with Hussein Awala, Irina Mitrea (Temple University), and Katharine Ott (Bates College).

Bio: Jeongsu Kyeong is a 5th year mathematics PhD candidate at Temple University, under the advisement of Professor Irina Mitrea. His research interests lie in Harmonic Analysis, Partial Differential Equations, and Geometric Measure Theory. The main focus of his doctoral studies has been on the layer potential operators associated with second-order and higher-order elliptic operators in rough domains.

Host: Howard Cohl /  Stephen Sorokanich

Note: This talk will be recorded to provide access to NIST staff and associates who could not be present to the time of the seminar. The recording will be made available in the Math channel on NISTube, which is accessible only on the NIST internal network. This recording could be released to the public through a Freedom of Information Act (FOIA) request. Do not discuss or visually present any sensitive (CUI/PII/BII) material. Ensure that no inappropriate material or any minors are contained within the background of any recording. (To facilitate this, we request that cameras of attendees are muted except when asking questions.)

Note: Visitors from outside NIST must contact Lochi Orr at least 24 hours in advance.