Some inverse magnetization problems motivated from geoscience

Abstract: We present an overview on some aspects of geomagnetic inverse problems related to Hardy spaces on the sphere/Lipschitz surfaces, Helmholtz Hodge decomposition on Lipschitz domains, and spatial localization. A particular focus is on uniqueness issues and the influence of discretization (e.g., if the geometry of the discretization influences uniqueness). The talk will on the on hand try to motivate the geophysical background of these problems and provide some basic examples, and on the other hand present a proper analysis of the problems.

mathematical physicsanalysis of PDEsclassical analysis and ODEsdifferential geometryfunctional analysismetric geometrynumerical analysisoptimization and control

Audience: researchers in the topic

Online Seminar "Geometric Analysis"

Series comments: We discuss recent trends related to geometric analysis in a broad sense. The general idea is to solve geometric problems by means of advanced tools in analysis. We will include a wide range of topics such as geometric flows, curvature functionals, discrete differential geometry, and numerical simulation.

Registration and links to videos available at blatt.sbg.ac.at/onlineseminar.php