Recovering the reaction and the diffusion coefficients in a linear parabolic equation
Alfredo Lorenzi, Gianluca Mola · Inverse Problems · 2012
Let H be a real separable Hilbert space and be a positive and self-adjoint (unbounded) operator. We consider the identification problem consisting in searching for an H -valued function u and a couple of real numbers λ and μ, the first one being positive, that fulfil the initial-value problem