The University of Arizona: Old and New Bounds on Solutions of the Helmholtz Equation Proved by Integrating by Parts

A classic technique in PDE theory is that of multiplying by a carefully-chosen test function and integrating by parts.
This method was famously used to prove bounds on the Helmholtz equation in the 1960s and 1970s by Cathleen Morawetz. Much-more sophisticated methods now exist for proving bounds on the Helmholtz equation, but (perhaps surprisingly) the multiplier method can still be used to prove new results. In this talk I will review the classic multiplier method, and then discuss a recent application of it to Helmholtz problems in the paper “Scattering by finely-layered obstacles: frequency-explicit bounds and homogenization” https://arxiv.org/abs/2109.11267 , co-authored with Th\’eophile Chaumont-Frelet (INRIA, Nice).
Series: Analysis, Dynamics, and Applications Seminar
Hybrid: Math 402/Online
Presenter: Euan Spence, Department of Mathematical Sciences, University of Bath, United Kingdom

Place: Hybrid, Math, 402 and
Zoom: https://arizona.zoom.us/j/81150211038
Password: “arizona” (all lower case)

  • Audience: Adult
  • Genre: Mathematics
  • Type: Hybrid, Presentation

The event is finished.

Date

Nov 30 2021
Expired!

Time

12:30 pm - 1:30 pm

Cost

Free

More Info

More Information

Location

The University of Arizona Mathematics Building
617 N. Santa Rita Ave., Tucson, AZ, 85721
Website
https://www.math.arizona.edu/about/building

Location 2

Online

Organizer

The University of Arizona College of Mathematics
Phone
(520) 621-6866
Website
https://crr.math.arizona.edu/
QR Code