BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Victor Isakov (Wichita State University) DTSTART:20210318T160000Z DTEND:20210318T170000Z DTSTAMP:20260423T035740Z UID:Inverse/38 DESCRIPTION:Title: On increasing stability and minimal data in inverse problems\nby Vict or Isakov (Wichita State University) as part of International Zoom Inverse Problems Seminar\, UC Irvine\n\n\nAbstract\nWe expose (with basic ideas o f proofs) recent results about improving stability in the Cauchy problem f or general elliptic partial differential equations of second order of Helm holtz type without any geometrical assumptions on domains and operators w hen the wave number is growing. The next topic is better stability in in t he inverse source scattering problems with the boundary data at an interv al of wave numbers when this interval is getting larger. We give rather co mplete theory for the Helmholtz equation (based on sharp bounds of analyt ic and exact observability for the wave equation)\, as well as convincing numerical examples. Similarly we discuss recovery of the Schroedinger pote ntial from the Dirichlet-to Neumann map. Finally\, we report on first resu lts on the inverse problems where the wave number is zero (or small)\, sho wing that in the two dimensional case of inverse gravimetry in a realistic practical situation one can stably find only 5 real parameters of gravity force at the boundary and with this data uniquely determine an ellipse.\n LOCATION:https://researchseminars.org/talk/Inverse/38/ END:VEVENT END:VCALENDAR