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Recovering an unknown coefficient in an absorption model with diffusion. (English) Zbl 1126.35093

Summary: We prove existence and uniqueness for an unknown coefficient, depending on space only, entering in an initial boundary value problem arising in absorption dynamics, where diffusion is also taken into account.

MSC:

35R30 Inverse problems for PDEs
65M32 Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
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References:

[1] Landis E. M., Uspekhi Matemat. Nauk 14 pp 21– (1959)
[2] DOI: 10.1080/0003681021000004393 · Zbl 1040.35134 · doi:10.1080/0003681021000004393
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