Inverse problem of determining the absorption coefficient in the multidimensional heat equation with unlimited minor coefficients

Inverse Problem of Finding the Coefficient of the Lowest Term in Two-Dimensional Heat Equation with Ionkin-Type Boundary Condition

“…Among these inverse problems, much attention is given to the determination of the lowest order coefficient in heat equation, in particular, when this coefficient depends solely on time. Various methods for finding the lowest order coefficient in a more general multidimensional parabolic equation have been addressed in numerous works, see [4,5,6,7,8] for time dependent coefficient, [9,10,11,12,13,14,15] for space dependent coefficient, [16,17,18] for both time and space dependent coefficient. The boundary conditions are most frequently classical (Dirichlet, Neumann and Robin) and additional condition is most frequently specified as the solution at an interior point or an integral mean over the entire domain.…”