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Luis Caffarelli, Sandro Salsa — A geometric approach to free boundary problems
Luis Caffarelli, Sandro Salsa — A geometric approach to free boundary problems

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Название: A geometric approach to free boundary problems

Авторы: Luis Caffarelli, Sandro Salsa

Аннотация:

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.


Язык: en

Статус предметного указателя: Неизвестно

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Год издания: 2005

Количество страниц: 258

Добавлена в каталог: 13.11.2013

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