The problem of determining an insulating body D contained in a conducting one Omega is studied. If at an initial time the temperature is zero and increasing temperature is assigned on the boundary of Omega then the knowledge of the flux on a portion of partial derivative Omega for a finite interval of time determines D. A logarithmic stability estimate is found if some a priori assumptions are given on D.
Stability estimates in an inverse problem for a three-dimensional heat equation / S. VESSELLA. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - STAMPA. - 28:(1997), pp. 1354-1370. [10.1137/S0036141095294262]
Stability estimates in an inverse problem for a three-dimensional heat equation
VESSELLA, SERGIO
1997
Abstract
The problem of determining an insulating body D contained in a conducting one Omega is studied. If at an initial time the temperature is zero and increasing temperature is assigned on the boundary of Omega then the knowledge of the flux on a portion of partial derivative Omega for a finite interval of time determines D. A logarithmic stability estimate is found if some a priori assumptions are given on D.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
