### Old and new bounds on Helmholtz and Maxwell solutions proved by integrating by parts

Analysis and Geometry Seminar

16th November 2023, 3:30 pm – 4:30 pm

Fry Building, 2.04

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 Helmholtz and Maxwell solutions, 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 some recent application of it to Helmholtz and Maxwell problems.

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