The first part of the book is devoted to the transport equation for a given vector field, exploiting the lagrangian structure of solutions. It also treats the r

In various applications, we can meet boundary value problems for elliptic equations whose ellipticity is disturbed in the sense that some degeneration or singul

Structured population models are transport-type equations often applied to describe evolution of heterogeneous populations of biological cells, animals or human

In 1982, R. Hamilton introduced a nonlinear evolution equation for Riemannian metrics with the aim of finding canonical metrics on manifolds. This evolution equ

This book gives an exposition of the principal concepts and results related to second order elliptic and parabolic equations for measures, the main examples of