A Geometric Approach to Free Boundary Problems PDF
by Luis Caffarelli
- Information
Description
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.
Information
-
Download Now
- Format:PDF
- Pages:270 pages
- Publisher:American Mathematical Society
- Publication Date:02/01/2015
- Category:
- ISBN:9781470421090
Other Formats
- Hardback from £81.88
Information
-
Download Now
- Format:PDF
- Pages:270 pages
- Publisher:American Mathematical Society
- Publication Date:02/01/2015
- Category:
- ISBN:9781470421090