Initial problem for heat equation with multisoliton inhomogeneity and   one-loop quantum corrections
  The generalized zeta-function is built by a dressing method based on the Darboux covariance of the heat equation and used to evaluate the correspondent functional integral in quasiclassical approximation. Quantum corrections to a kink-like solutions of Landau-Ginzburg model are calculated. 
Sergey Leble, Artem Yurov