On solvability of the Cauchy problem for second order parabolic equation   degenerating in Schrodinger types
  The Cauchy problem is investigated for the parabolic type in the some finite part $[t_0, t_1] \subset [0, \infty)$ of the semi axis $t \in [0, \infty)$ and degenarated to Schrodinger type in the remain part of the same semi axes the second order parabolic equation. The existence of the solution is proved under some conditions on the data and the explicit integral representation is constructed. 
Hikmat I. Ahmadov