Inverse problem for a degenerate/singular parabolic system with Neumann boundary conditions
Keyword(s):
AbstractIn this paper, we study an inverse source problem for a degenerate and singular parabolic system where the boundary conditions are of Neumann type. We consider a problem with degenerate diffusion coefficients and singular lower-order terms, both vanishing at an interior point of the space domain. In particular, we address the question of well-posedness of the problem, and then we prove a stability estimate of Lipschitz type in determining the source term by data of only one component. Our method is based on Carleman estimates, cut-off procedures and a reflection technique.
2018 ◽
Vol 457
(1)
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pp. 248-272
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2012 ◽
Vol 43
(1)
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pp. 137-144
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2016 ◽
Vol 24
(3)
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2018 ◽
Vol 135
(1)
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pp. 1-35
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