Bounded extremal problems in Hardy spaces for the conjugate Beltrami equation in simply-connected domains - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Rapport (Rapport De Recherche) Année : 2010

Bounded extremal problems in Hardy spaces for the conjugate Beltrami equation in simply-connected domains

Résumé

Techniques of constrained approximation are used to recover solutions to elliptic partial differential equations from incomplete and corrupted boundary data. The approach involves the use of generalized Hardy spaces of functions whose real and imaginary parts are related by formulae similar to the Cauchy--Riemann equations. A prime motivation for this is the modelling of plasma confinement in a tokamak reactor. Constructive and numerical aspects are also discussed.
Fichier principal
Vignette du fichier
RR-7219.pdf (481.78 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

inria-00460820 , version 1 (02-03-2010)
inria-00460820 , version 2 (14-04-2010)
inria-00460820 , version 3 (09-06-2010)

Identifiants

  • HAL Id : inria-00460820 , version 2

Citer

Yannick Fischer, Juliette Leblond, Jonathan R. Partington, Eva Sincich. Bounded extremal problems in Hardy spaces for the conjugate Beltrami equation in simply-connected domains. [Research Report] RR-7219, 2010, pp.26. ⟨inria-00460820v2⟩

Collections

INRIA-RRRT
239 Consultations
168 Téléchargements

Partager

Gmail Facebook X LinkedIn More