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- W2051423664 abstract "This paper treats the inverse problem determining the shape of a multi-dimensional domain varying with time from measurements of the temperature on an accessible portion of the boundary. On the shape with only Lipschitz continuity on the unknown portion of the boundary, we provide the unique identification theorem and a reconstruction procedure based on a suitably linearized problem, which is formulated by an initial-boundary value problem for a parabolic equation with a mixed boundary condition. For the reconstruction procedure, its convergence and stability are verified, and further its effectiveness is examined in numerical examples." @default.
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- W2051423664 date "2007-03-08" @default.
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- W2051423664 title "An estimation problem for the shape of a domain varying with time via parabolic equations" @default.
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- W2051423664 doi "https://doi.org/10.1088/0266-5611/23/2/017" @default.
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