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

Deals with the Ricci flow, and the convergence theory for the Ricci flow. This title focuses on preserved curvature conditions, such as positive isotropic curva

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