Factorization of the Calderón Problem Through the Born Approximation

Explore the Calderón problem and its factorization through the Born approximation in this 58-minute lecture by F. Macià from UPM. Delve into analytic techniques in dynamics and geometry, covering topics such as nonuniqueness, stability, and uniqueness in real analysis. Examine the direct problem, differential operators, and computational aspects. Investigate the factorization process, local uniqueness, and the Q and B approximation. Study continuous mapping, spectral theory, and finite order range characterization. Gain insights into this complex mathematical topic through a comprehensive exploration of its various aspects and applications.

Introduction
Caldern problem
Main objective
Nonuniqueness
Literature
Stability
Uniqueness
Real Analysis
Approach
Born approximation
Direct problem
Differential operators
Computing
Formula
Factorization
Local uniqueness
Q and B approximation
Continuous mapping
Spectral theory
Finite order
Rangecharacterization