Perturbation of homogeneous parabolic pseudodifferential equations by locally unbounded vector fields

We construct solutions of homogeneous pseudodifferential equations of parabolic type perturbed by locally unbounded vector fields. We investigate some properties of these solutions. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 11, pp. 1561–1566, November, 1997.