We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium Omega in R-n, n greater than or equal to 2, from a single pair of boundary measurements of temperature and thermal flux.

A STABILITY RESULT IN THE LOCALIZATION OF THE CAVITIES IN A THERMIC CONDUCTING MEDIUM / B. CANUTO; E. ROSSET; S. VESSELLA. - In: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. - ISSN 1262-3377. - STAMPA. - 7:(2002), pp. 521-565. [10.1051/cocv:2002066]

A STABILITY RESULT IN THE LOCALIZATION OF THE CAVITIES IN A THERMIC CONDUCTING MEDIUM

VESSELLA, SERGIO
2002

Abstract

We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium Omega in R-n, n greater than or equal to 2, from a single pair of boundary measurements of temperature and thermal flux.
7
521
565
B. CANUTO; E. ROSSET; S. VESSELLA
File in questo prodotto:
File Dimensione Formato  
ESAIM_COCV.pdf

Accesso chiuso

Tipologia: Versione finale referata (Postprint, Accepted manuscript)
Licenza: DRM non definito
Dimensione 697.75 kB
Formato Adobe PDF
697.75 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/2414
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 10
social impact