A Geometric Approach to Free Boundary Problems

Language: English

Published by American Mathematical Society, US, 2005

0821837842 / 9780821837849

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Free or moving boundary problems appear in many areas of analysis, geometry, and applied mathematics. A typical example is the evolving inter phase 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 inter phase. In this book, the authors present a series of ideas, methods, and techniques for treating the most basic issues of such a problem.In particular, they 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. The tools and ideas presented here will serve as a basis for the study of more complex phenomena and problems. This book is useful for supplementary reading or will be a fine independent study text. It is suitable for graduate students and researchers interested in partial differential equations. Also available from the AMS by Luis Caffarelli is ""Fully Nonlinear Elliptic Equations"", as Volume 43 in the AMS series, Colloquium Publications.…

Seller Inventory # LU-9780821837849

Title
A Geometric Approach to Free Boundary Problems
Author
Luis Caffarelli, Sandro Salsa
Publisher
American Mathematical Society, US
Publication year
2005
Condition
New
Binding
Hardback
Language
English
ISBN 10
0821837842
ISBN 13
9780821837849
Edition
illustrated Edition.
Item weight
660 grams

Rarewaves.com UK

London, United Kingdom

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