On the Inverse Resonance Problem.
Sesión Conmemorativa dada por Rudi Weikard (University of Alabama at Birmingham) del 2° aniversario del Coloquio Interinstitucional de Análisis y sus aplicaciones,
en el marco del 50 Congreso Nacional de la Sociedad Matemática Mexicana el miercoles 25 octubre 2017 en el Auditorio del IIMAS – UNAM Circuito Escolar, CU
Rudi Weikard (University of Alabama at Birmingham)
Resumen: Inverse spectral and scattering problems are a classical subject in mathematical physics.
In this talk we present a particular variant:
the inverse resonance problem in one dimension, particularly for the Schrödinger equation.
In addition to the uniqueness question we investigate
which information may be contained from finite noisy data. This is of interest, since,
in practical settings, one cannot expect to obtain all the
necessary data and, in any case, recovery algorithms cannot make use of all data even if they were available.
Video de la plática: https://youtu.be/VYi7EbmQzfM