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SUMMARY:Old and new bounds on solutions of the Helmholtz equation proved b
 y integrating by parts - Euan Spence (University of Bath)
DTSTART:20220228T150000Z
DTEND:20220228T160000Z
UID:TALK169904@talks.cam.ac.uk
CONTACT:Alistair Hales
DESCRIPTION:A classic technique to study PDEs is that of multiplying by a 
 carefully-chosen test function and integrating by parts. This method was f
 amously used to prove bounds on the Helmholtz equation in the 1960s and 19
 70s by Cathleen Morawetz. Much-more sophisticated methods now exist for pr
 oving bounds on the Helmholtz equation\, but (perhaps surprisingly) the mu
 ltiplier method can still be used to prove new results. In this talk I wil
 l review the classic multiplier method\, and then discuss a recent applica
 tion of it to Helmholtz problems in the paper "Scattering by finely-layere
 d obstacles: frequency-explicit bounds and homogenization" https://arxiv.o
 rg/abs/2109.11267 \, co-authored with Theophile Chaumont-Frelet (INRIA\, N
 ice).
LOCATION:Zoom
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