On uniqueness in inverse problems for semilinear parabolic equations
Using his results on completeness of products of solutions of parabolic equations and a linearization method, the author proves uniqueness theorems for the term \(a = a(x,u)\) of the semilinear parabolic equation \(u_ t - \Delta u + a(x,u) = 0\), given results on all possible (lateral) boundary measurements. It is emphasized that the problem considered is multidimensional.
scientific article; zbMATH DE number 474498
scientific article