 
Summary: Uniqueness of solutions to weak
parabolic equations for
measures
V.I. Bogachev
G. Da Prato
M. Röckner
W. Stannat
Preprint di Matematica N. 3
Febbraio 2007
Uniqueness of solutions to weak parabolic
equations for measures
V.I. Bogachev1
, G. Da Prato2
, M. R¨ockner3
, W. Stannat4
Abstract
We study uniqueness of parabolic equations for measures µ(dtdx) = µt(dx)dt
of the type Lµ = 0, satisfying µt as t 0, where each µt is a probability
measure on Rd, L = t + aij(t, x)xi xj + bi(t, x)xj is a differential operator
on (0, T) × Rd and is a given initial measure. One main result is that
