Geodesic
Elliptic and parabolic equations for measures
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 64 (2009) no. 6, pp. 973-1078

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This article gives a detailed account of recent investigations of weak elliptic and parabolic equations for measures with unbounded and possibly singular coefficients. The existence and differentiability of densities are studied, and lower and upper bounds for them are discussed. Semigroups associated with second-order elliptic operators acting in $L^p$-spaces with respect to infinitesimally invariant measures are investigated. Bibliography: 181 titles.
Keywords: stationary distribution of a diffusion process, transition probability.
Mots-clés : elliptic equation, parabolic equation 
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     title = {Elliptic and parabolic equations for measures},
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V. I. Bogachev; N. V. Krylov; M. Röckner. Elliptic and parabolic equations for measures. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 64 (2009) no. 6, pp. 973-1078. http://geodesic.mathdoc.fr/item/RM_2009_64_6_a1/