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SUMMARY:Mourad Bellassoued (University of Tunis El Manar\, Tunisia)
DTSTART:20210408T160000Z
DTEND:20210408T170000Z
DTSTAMP:20260423T035631Z
UID:Inverse/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Inverse/41/"
 >Stable recovery of a metric tensor from the partial hyperbolic Dirichlet 
 to Neumann map</a>\nby Mourad Bellassoued (University of Tunis El Manar\, 
 Tunisia) as part of International Zoom Inverse Problems Seminar\, UC Irvin
 e\n\n\nAbstract\nIn this talk we consider the inverse problem of determini
 ng on a compact Riemannian manifold the metric tensor in the wave equation
  with Dirichlet  data from measured Neumann sub-boundary observations. Thi
 s information is enclosed in the dynamical partial Dirichlet-to-Neumann ma
 p associated to the wave equation. We prove in dimension $n\\geq 2$ that  
 the knowledge of the partial Dirichlet-to-Neumann map for the wave equatio
 n uniquely determines the metric tensor and we establish logarithm-type st
 ability.\n
LOCATION:https://researchseminars.org/talk/Inverse/41/
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