Synopsis
Free or moving boundary problems are common in may areas of mathematics and science, including shape optimization, phase transitions, fluid dynamics, probability and statistics. This text covers such topics in free boundary problems as elliptic problems (such as viscosity solutions and they asymptotic developments), evolution problems (such as Lipschitz free boundaries), main tools such as the boundary behavior of harmonic functions and caloric functions and monotonicity formulas and their applications. Annotation ©2005 Book News, Inc., Portland, OR (booknews.com)
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Review
The book will be a great resource, especially for scientists with an application in mind who want to find out what a free boundary problem-based approach can offer them. ... The book is written by two of the most renowned specialists in the study of free boundary problems, with deep contributions in this field. ... For anyone who later will do research on free boundary problems, this is probably the best introduction ever written. But the potential audience of this volume is much wider; his approach is just right for a book at the introductory level. The result is not only a comprehensive overview of the area itself, but also a very informative and inspiring monograph. Overall, this is a fine text for a graduate or postgraduate course in free boundary problems and a valuable reference that should be on the shelves of researchers and those teaching applied partial differential equations. --Vicentiu Radulescu, MAA Reviews
In this very interesting and well-written book, the authors present many techniques and ideas to investigate free boundary problems (hereafter, denoted FBP) of both elliptic and parabolic type. --Mathematical Reviews
The tools and ideas presented in this book will serve as a basis for the study of more complex phenomena and problems. The book is well-written and the style is clear. It is suitable for graduate students and researchers interested in partial differential equations. --Zentralblatt MATH
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A Geometric Approach to Free Boundary Problems (Graduate Studies in Mathematics)
Published by
American Mathematical Society, 2005
ISBN 10: 0821837842
ISBN 13: 9780821837849
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Condition: New. Describes the properties of harmonic and caloric measures in Lipschitz domains, a relation between parallel surfaces and elliptic equations, monotonicity formulas and rigidity. This book is suitable for graduate students and researchers interested in partial differential equations. Series: Graduate Studies in Mathematics. Num Pages: 270 pages, Illustrations. BIC Classification: PBKJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 713. . 2005. Hardcover. . . . . Seller Inventory # V9780821837849
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Geometric Approach To Free Boundary Problems
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ISBN 10: 0821837842
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A Geometric Approach to Free Boundary Problems (Graduate Studies in Mathematics)
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Amer Mathematical Society, 2005
ISBN 10: 0821837842
ISBN 13: 9780821837849
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A Geometric Approach to Free Boundary Problems
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Hardback. Condition: New. illustrated Edition. 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
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A Geometric Approach to Free Boundary Problems (Graduate Studies in Mathematics)
Published by
American Mathematical Society, 2005
ISBN 10: 0821837842
ISBN 13: 9780821837849
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Condition: New. Describes the properties of harmonic and caloric measures in Lipschitz domains, a relation between parallel surfaces and elliptic equations, monotonicity formulas and rigidity. This book is suitable for graduate students and researchers interested in partial differential equations. Series: Graduate Studies in Mathematics. Num Pages: 270 pages, Illustrations. BIC Classification: PBKJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 713. . 2005. Hardcover. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821837849
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Geometric Approach To Free Boundary Problems
Published by
Amer Mathematical Society, 2005
ISBN 10: 0821837842
ISBN 13: 9780821837849
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A Geometric Approach to Free Boundary Problems
Published by
American Mathematical Society, US, 2005
ISBN 10: 0821837842
ISBN 13: 9780821837849
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Seller: Rarewaves.com UK, London, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: New. illustrated Edition. 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
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