Analytical methods for Kolmogorov equations (Q2812145)

This is the second edition of the book [Analytical methods for Markov semigroups. Boca Raton, FL: Chapman \& Hall/CRC (2007; Zbl 1109.35005)] by \textit{L. Lorenzi} and \textit{M. Bertoldi}.NEWLINENEWLINEAll the material of the first edition is contained in the second edition, i.e., the existence in the space \(C_b( \Omega)\) of some Markov semigroup associated to elliptic operator with suitable unbounded coefficients, where \(\Omega\) is \(\mathbb{R}^N\) or an unbounded domain of \(\mathbb{R}^N\).NEWLINENEWLINENew results were added in Chapters 7 and 8, where Markov semigroups in \(L^p\) spaces and Green functions associated which such semigroups are considered. Chapters 9 and 11 are updated. Chapters 14--18 are new and deal with non-autonomous Kolmogorov equations in \(\mathbb{R}^N\).NEWLINENEWLINEThe Appendices makes this book self-contained.NEWLINENEWLINEAn useful monograph, very suitable for a PhD course, where all the recent results concerning Kolmogorov equations are collected in a very clever and readable way.