Böcker av Luis A. Caffarelli

The book covers several topics of current interest in the field of nonlinear partial differential equations and their applications to the physics of continuous media and particle interactions. It treats the quasigeostrophic equation, integral diffusions, periodic Lorentz gas, Boltzmann equation, and critical dispersive nonlinear Schrodinger and wave equations. The book describes in a careful and expository manner several powerful methods from recent top research articles.

Presents a self-contained development of the regularity theory for solutions of fully nonlinear elliptic equations. This book describes various techniques that are needed to extend the classical Schauder and Calderon-Zygmund regularity theories for linear elliptic equations to the fully nonlinear context.