C. Gerhards

activity

20202022

collaborators

3 papers

math.FA2022

Relation between Hardy components for locally supported vector fields on the sphere

Christian Gerhards, Xinpeng Huang, Alexander Kegeles

Given a function in the Hardy space of inner harmonic gradients on the sphere, H+(S), we consider the problem of finding a corresponding function in the Hardy space of outer harmon…

math.AP2021

Unique reconstruction of simple magnetizations from their magnetic potential

L. Baratchart, C. Gerhards, A. Kegeles +1

Inverse problems arising in (geo)magnetism are typically ill-posed, in particular {they exhibit non-uniqueness}. Nevertheless, there exist nontrivial model spaces on which the prob…

math.AP2020

Decomposition of $L^{2}$ -vector fields on Lipschitz surfaces: characterization via null-spaces of the scalar potential

L. Baratchart, C. Gerhards, A. Kegeles

For $\partial Ω$ the boundary of a bounded and connected strongly Lipschitz domain in $R^{d}$ with $d \geq 3$ , we prove that any field $f\in L^{2} (\partial Ω; \mathbb{R}^{d…

Relation between Hardy components for locally supported vector fields on the sphere

Unique reconstruction of simple magnetizations from their magnetic potential

Decomposition of L2-vector fields on Lipschitz surfaces: characterization via null-spaces of the scalar potential

Decomposition of $L^{2}$ -vector fields on Lipschitz surfaces: characterization via null-spaces of the scalar potential