BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Euan Spence (Bath) DTSTART:20200528T140000Z DTEND:20200528T150000Z DTSTAMP:20260423T035747Z UID:LANS/1 DESCRIPTION:Title: Res olution of a long-standing open question in the theory of boundary integra l equations for Laplace's equation\nby Euan Spence (Bath) as part of L ondon analysis seminar\n\n\nAbstract\nThis talk is concerned with the theo ry of boundary integral equations for Laplace's equation on Lipschitz doma ins. The theory for these equations in the space L^2(\\Gamma)\, where \\Ga mma is the boundary of the domain\, was developed in the 1980s by Calderon \, Coifman\, McIntosh\, Meyer\, and Verchota. However\, the following ques tion has remained open: can the standard second-kind integral equations\, posed in L^2(\\Gamma)\, be written as the sum of a coercive operator and a compact operator when \\Gamma is only assumed to be Lipschitz\, or even L ipschitz polyhedral? The practical importance of this question is that the convergence analysis the Galerkin method applied to these integral equati ons relies on this "coercive + compact" property holding. This talk will d escribe joint work with Simon Chandler-Wilde (University of Reading) that answers this question.\n LOCATION:https://researchseminars.org/talk/LANS/1/ END:VEVENT END:VCALENDAR