TY - JOUR
AB - A new concept of a weak elliptic equation for probability distributions on infinite dimensional spaces is introduced. A suitable notion of a Lyapunov function is defined for weak elliptic equations. Sufficient conditions in terms of Lyapunov functions are given for the existence of solutions for weak elliptic equations. Applications to Gibbs measures are discussed. (C) 1999 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
AU - Bogachev, Vladimir
AU - Röckner, Michael
ID - 1621467
IS - 8
JF - Comptes Rendus de l'Académie des Sciences - Series I - Mathematics
SN - 0764-4442
TI - Elliptic equations for infinite dimensional probability distributions and Lyapunov functions
VL - 329
ER -