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Some inverse problems for the diffusion equation. (English) Zbl 0918.35145

Summary: We outline some recent results about the uniqueness of recovery of some coefficients of parabolic partial differential equations \[ a_0\partial_tu- \text{div}(a\nabla u)+ cu= 0 \] when overdetermined data are prescribed at the final moment of time or on the lateral wall.

MSC:

35R30 Inverse problems for PDEs
35K15 Initial value problems for second-order parabolic equations
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