Moving interfaces–and in the stationary case, free boundaries–are ubiquitous in our
environment and daily life. They are at the basis of many physical, chemical, and also …

In this short survey, we describe some recent developments on the modeling of propagation
by reaction-differential equations with free boundaries, which involve local as well as …

The regularity theory of free boundaries flourished during the late 1970s and early 1980s
and had a major impact in several areas of mathematics, mathematical physics, and …

Progress in Mathematics is a series of books intended for professional mathematicians and
scientists, encompassing all areas of pure mathematics. This distinguished series, which …

The Classical Stefan Problem: Basic Concepts, Modelling and Analysis with Quasi-
Analytical Solutions and Methods, New Edition, provides fundamental theory, concepts …

Page 1 DE GRUYTER Anvarbek M. Meirmanov EXPOSITIONS IN MATHEMATICS 3 The Stefan
Problem W DE G Page 2 • Page 3 Page 4 Page 5 de Gruyter Expositions in Mathematics 3 …

Such a point u0 is called the “solution to the obstacle problem.” Such a problem is motivated
by the description of the equilibrium position of a membrane (the graph of u) that is …

In the first edition of this book, we discussed methods for determining the support of an
inhomogeneous medium from measured far field data as well as an extensive study of the …

One of the most basic and important questions in PDE is that of regularity. It is also a unifying
problem in the field, since it affects all kinds of PDEs. A classical example is Hilbert's XIXth …

..." What do you call work?"" Why ain't that work?" Tom resumed his whitewashing, and
answered carelessly:" Well. lI1a), he it is, and maybe it aill't. All I know, is, it suits Tom …