Coefficient Inverse Problems of Identification of Thermophysical Parameters From Boundary Integral Data

The question of regular solvability in Sobolev spaces of parabolic inverse problems is considered. The unknowns are coefficient of the equations which are representable in the form of a finite segments of the series whose coefficients depending on time are to be determined. The additional conditions are integrals over the boundary of a solution with weights. A solution has all generalized derivatives occurring into the equation summable to some power. The proof relies on a priori estimates and the contraction mapping principle.