STABILITY ESTIMATES IN INVERSE PROBLEMS FOR THE SCHRÖDINGER AND WAVE EQUATIONS WITH TRAPPING - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Revista Matemática Iberoamericana Année : 2022

STABILITY ESTIMATES IN INVERSE PROBLEMS FOR THE SCHRÖDINGER AND WAVE EQUATIONS WITH TRAPPING

Victor Arnaiz
  • Fonction : Auteur
  • PersonId : 1039896

Résumé

For a class of Riemannian manifolds with boundary that includes all negatively curved manifolds with strictly convex boundary, we establish Hölder type stability estimates in the geometric inverse problem of determining the electric potential or the conformal factor from the Dirichlet-to-Neumann map associated with the Schrödinger equation and the wave equation. The novelty in this result lies in the fact that we allow some geodesics to be trapped inside the manifold and have infinite length.
Fichier principal
Vignette du fichier
version_definitive.pdf (461.91 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03325075 , version 1 (24-08-2021)

Identifiants

Citer

Victor Arnaiz, Colin Guillarmou. STABILITY ESTIMATES IN INVERSE PROBLEMS FOR THE SCHRÖDINGER AND WAVE EQUATIONS WITH TRAPPING. Revista Matemática Iberoamericana, In press, ⟨10.4171/RMI/1327⟩. ⟨hal-03325075⟩
22 Consultations
34 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More