We hope that the tools and ideas presented here will serve as a basis for the study of more complex phenomena and problems."--Jacket.

Many phenomena of interest for applications are represented by differential equations which are defined in a domain whose boundary is a priori unknown, and is a

This book is concerned with several elliptic and parabolic obstacle-type problems with a focus on the cases where the free and fixed boundaries meet. The result

This book discloses a fascinating connection between optimal stopping problems in probability and free-boundary problems. It focuses on key examples and the the

In this volume a theory for models of transport in the presence of a free boundary is developed.Macroscopic laws of transport are described by PDE's. When the s