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SUMMARY:Alexei Iantchenko (Malmö university) : Inverse Spectral and Reson
ance Problems for Elastic Surface Waves
DTSTART;VALUE=DATE-TIME:20210922T141500Z
DTEND;VALUE=DATE-TIME:20210922T151500Z
DTSTAMP;VALUE=DATE-TIME:20211130T115626Z
UID:indico-event-6915@indico.math.cnrs.fr
DESCRIPTION:\nSemiclassical analysis can be employed to describe surface w
aves in an elastic half space which is quasi-stratified near its boundary.
The propagation of such waves is governed by effective Hamiltonians on th
e boundary with a space-adiabatic behavior. Effective Hamiltonians of surf
ace waves correspond to eigenvalues of ordinary differential operators\, w
hich\, to leading order\, define their phase velocities. In case of isotro
pic medium the surface wave decouple up to principal parts into Love and R
ayleigh waves.\nWe present the conditional recovery of Lamé parameters fr
om spectral data in two inverse problems approaches: \nsemiclassical techn
iques using the semiclassical spectra as the data\;\nexact methods for Stu
rm-Liouville operators using the discrete and continuous spectra\, or the
Weyl function\, as the data based on the solution of the Gel’fand-Levita
n-Marchenko equation.\nWe conclude with comments on using scattering reson
ances as the data.\n\nhttps://indico.math.cnrs.fr/event/6915/
LOCATION: salle 318
URL:https://indico.math.cnrs.fr/event/6915/
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