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SUMMARY:Yang Zhang (University of Washington)
DTSTART:20220310T170000Z
DTEND:20220310T180000Z
DTSTAMP:20260423T021157Z
UID:Inverse/74
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Inverse/74/"
 >Inverse boundary value problems for a quasilinear wave equation on Lorent
 zian manifolds</a>\nby Yang Zhang (University of Washington) as part of In
 ternational Zoom Inverse Problems Seminar\, UC Irvine\n\n\nAbstract\nInver
 se problems of recovering the metric and nonlinear terms were originated i
 n the work by Kurylev\, Lassas\, and Uhlmann for the semilinear wave equat
 ion $\\square_g u(x) + a(x)u^2(x) = f(x)$ in a manifold without boundary. 
 The idea is to use the linearization and the nonlinear interactions of dis
 torted planes waves to produce point source like singularities in an obser
 vable set. In this talk\, I will discuss the joint work with Gunther Uhlma
 nn which considers the recovery of the metric and the nonlinear term for a
  quadratic derivative nonlinear wave equation on a Lorentzian manifold wit
 h boundary. The main difficulty that we need to handle here is caused by t
 he presence of the boundary. Our work builds on the previous results and I
  will discuss the methods to overcome these difficulties.\n
LOCATION:https://researchseminars.org/talk/Inverse/74/
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