Edición de la obra A geometric approach to free boundary problems
| Autor | Luis A. Caffarelli |
|---|---|
| Editorial | American Mathematical Society |
| Fecha de publicación | 2005 |
| Lugar | Providence, R.I |
| Idioma | inglés |
| Páginas | 270 |
| ISBN-10 | 0821837842 |
| OCLC | 58423289 |
| LCCN | 2005041181 |
| Serie | Graduate studies in mathematics -- v. 68 |
| Número de Cutter | C129g |
"Free boundary (or moving boundary or phase transition) problems surface in many areas of analysis, geometry, and applied mathematics. A typical example is the evolving interphase between a solid and liquid phase: if we know the initial configuration well enough, we should be able to reconstruct its evolution, in particular, the evolution of the interphase. In this book we present a series of ideas, methods, and techniques for treating the most basic issues of such a problem. In particular, we describe the very fundamental tools of geometry and real analysis that make this possible: properties of harmonic and caloric measures in Lipschitz domains, a relation between parallel surfaces and elliptic equations, monotonicity formulas and rigidity, etc. We hope that the tools and ideas presented here will serve as a basis for the study of more complex phenomena and problems."--BOOK JACKET