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• W2988029879 abstract "In many inverse problems a functional of is given by measurements, where solves a partialdifferentialequation of the type L(p)u+Su = q. Here q is a known source term, and L(p), S are operators, with p as an unknown parameter of the inverse problem. For the numerical reconstruction of p, the heuristically derived Frechet derivative Rof the mapping R : p → measurement functional of u is often used. We show for three problems—a transport problem in optical tomography, an elliptic equation governing near-infrared tomography, and the wave equation in moving media—that Ris the deriva- tive in the strict sense. Our method is applicable to more general problems than are established methods for similar inverse problems." @default.
• W2988029879 created "2019-11-22" @default.
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• W2988029879 date "2002-01-01" @default.
• W2988029879 modified "2023-09-23" @default.
• W2988029879 title "FRDERIVATIVES FOR SOME BILINEAR INVERSE PROBLEMS" @default.
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