Sparse recovery for inverse potential problems in divergence form - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Book Sections Journal of Physics: Conference Series Year : 2020

Sparse recovery for inverse potential problems in divergence form

Abstract

We discuss recent results on sparse recovery for inverse potential problem with source term in divergence form. The notion of sparsity which is set forth is measure-theoretic, namely pure 1-unrectifiability of the support. The theory applies when a superset of the support is known to be slender, meaning it has measure zero and all connected components of its complement has infinite measure in R^3. We also discuss open issues in the non-slender case.
Fichier principal
Vignette du fichier
NCMIP.pdf (212.4 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03434756 , version 1 (18-11-2021)

Identifiers

Cite

Laurent Baratchart, Cristobal Villalobos-Guillen, Douglas Hardin, Juliette Leblond. Sparse recovery for inverse potential problems in divergence form. 9th International Conference on New Computational Methods for Inverse Problems, NCMIP 2019 24 May 2019, Cachan, France, 1476, IOP Publishing, pp.012009, 2020, Journal of Physics: Conference Series, ⟨10.1088/1742-6596/1476/1/012009⟩. ⟨hal-03434756⟩
29 View
42 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More