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A Geometric Approach to Free Boundary Problems (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 68) by Luis Caffarelli; Sandro Salsa is a nonfiction available to read on EtoBox.

What is A Geometric Approach to Free Boundary Problems (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 68) about?

Free or moving boundary problems appear 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, 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.

Who reads A Geometric Approach to Free Boundary Problems (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 68)?

Author

Luis Caffarelli; Sandro Salsa

Publisher

American Mathematical Society

Published

2005

Language

EN

ISBN

9780821837849

Category

nonfiction

Subjects

Mathematics, Stem