An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions
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Abstract We study an inverse problem involving the restoration of two radiative potentials, not necessarily smooth, simultaneously with initial temperatures in parabolic equations with dynamic boundary conditions. We prove a Lipschitz stability estimate for the relevant potentials using a recent Carleman estimate, and a logarithmic stability result for the initial temperatures by a logarithmic convexity method, based on observations in an arbitrary subdomain.
1996 ◽
Vol 48
(1)
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pp. 37-59
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2019 ◽
Vol 475
(1)
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pp. 861-873
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2004 ◽
Vol 356
(12)
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pp. 4787-4809
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2017 ◽
Vol 6
(3)
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pp. 381-407
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2016 ◽
Vol 5
(1)
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pp. 61-103
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