Under suitable conditions, the following inverse problems among others can be solved: If n=2 and Γ is a segment originating on ∂Ω (outcropping crack), determine its length; in the time dependent case, n=3, if Γ lies in a plane and [[u]]>0, determine the said plane from one measurement over [0,T].
Crosta, G. (1995). Mathematical Review MR1340070 Andrieux, Stéphane Fonctionnelles d'écart à la réciprocité généralisé et identification de fissures par des mesures surabondantes de surface. (French) [Extended reciprocity gap functionals and identification of cracks by overspecified boundary data] C. R. Acad. Sci. Paris Sér. I Math. 320 (1995), no. 12, 1553–1559. MATHEMATICAL REVIEWS, 96e, 35178-35178.
Mathematical Review MR1340070 Andrieux, Stéphane Fonctionnelles d'écart à la réciprocité généralisé et identification de fissures par des mesures surabondantes de surface. (French) [Extended reciprocity gap functionals and identification of cracks by overspecified boundary data] C. R. Acad. Sci. Paris Sér. I Math. 320 (1995), no. 12, 1553–1559
CROSTA, GIOVANNI FRANCO FILIPPOPrimo
1995
Abstract
Under suitable conditions, the following inverse problems among others can be solved: If n=2 and Γ is a segment originating on ∂Ω (outcropping crack), determine its length; in the time dependent case, n=3, if Γ lies in a plane and [[u]]>0, determine the said plane from one measurement over [0,T].I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.