BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Nikolaos Pallikarakis (National Technical University of Athens) DTSTART:20221004T140000Z DTEND:20221004T150000Z DTSTAMP:20260526T054444Z UID:inverseproblems/6 DESCRIPTION:Title: Inverse Spectral Problems for Classic and Modified Transmission Ei genvalues\nby Nikolaos Pallikarakis (National Technical University of Athens) as part of Seminars on Inverse Problems Theory and Applications\n\ n\nAbstract\nResearch on transmission eigenvalues has been a very active t opic in inverse scattering theory. In this talk\, we discuss about the inv erse transmission eigenvalue problem for the spherically symmetric refract ive index. We present some well-known uniqueness results for the continuou s case [1]. Next\, we highlight the need to introduce modified problems an d demonstrate the corresponding modified transmission eigenvalue problem [ 2]. A new uniqueness result for the inverse problem is derived [3]. We con clude by summarizing similarities and differences among inverse problems u sing classic and modifed transmission eigenvalues.\n\n[1] Gintides D and P allikarakis N\, The inverse transmission eigenvalue problem for a disconti nuous refractive index\, Inverse Problems\, 33\, 2017.\n\n[2] Gintides D\, Pallikarakis N and Stratouras K\, On the modified transmission eigenvalue problem with an artificial metamaterial background\, Res. Math. Sci.\, 8\ , 2021\, (special issue on transmission eigenvalues).\n\n[3] Gintides D\, Pallikarakis N and Stratouras K\, Uniqueness of a spherically symmetric re fractive index from modified transmission eigenvalues\, Inverse Problems\, 38\, 2022.\n\nThe meeting id and passcode will be emailed to the seminar mailing list. For more information please visit our webpage: https://www.i nverseproblemseminars.com\n LOCATION:https://researchseminars.org/talk/inverseproblems/6/ END:VEVENT END:VCALENDAR