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On Shape Optimizing the Ratio of the First Two Eigenvalues of the Laplacian (Classic Reprint) - Softcover

 
9781332951994: On Shape Optimizing the Ratio of the First Two Eigenvalues of the Laplacian (Classic Reprint)

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Excerpt from On Shape Optimizing the Ratio of the First Two Eigenvalues of the Laplacian

We wish to thank our advisor, Prof. M. Overton, for introducing us to this material and for his help and kindness (and patience!) during the preparation of this thesis.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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  • PublisherForgotten Books
  • Publication date2018
  • ISBN 10 1332951996
  • ISBN 13 9781332951994
  • BindingPaperback
  • LanguageEnglish
  • Number of pages79

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Jean-Pierre A. Haeberly
Published by Forgotten Books, 2018
ISBN 10: 1332951996 ISBN 13: 9781332951994
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Paperback. Condition: New. Print on Demand. This book delves into the mathematical problem known as Payne, Polya, Weinberger conjecture, which explores the relationship between the shapes of bounded regions and the eigenvalues of the Laplacian operator. The conjecture posits that the ratio of the first two eigenvalues of the Laplacian is minimized when the region is a disk. The author utilizes finite element techniques to represent families of deformations of a disk and explores the generalized gradient of the ratio of the first two eigenvalues. This approach allows for the derivation of optimality conditions and the development of an algorithm to minimize the ratio. The book's significance lies in its contribution to the field of shape optimization, providing a deeper understanding of the relationship between shape and eigenvalues. The techniques and insights presented in this book have the potential to impact areas such as image processing, computational mechanics, and optimal design. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332951994_0

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ISBN 10: 1332951996 ISBN 13: 9781332951994
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ISBN 10: 1332951996 ISBN 13: 9781332951994
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Condition: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. | Seiten: 80 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 26920368/2

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