On Shape Optimizing the Ratio of the First Two Eigenvalues of the Laplacian (Classic Reprint) - Softcover
Synopsis
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.
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On Shape Optimizing the Ratio of the First Two Eigenvalues of the Laplacian
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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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On Shape Optimizing the Ratio of the First Two Eigenvalues of the Laplacian Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332951994
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On Shape Optimizing the Ratio of the First Two Eigenvalues of the Laplacian Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332951994
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On Shape Optimizing the Ratio of the First Two Eigenvalues of the Laplacian (Classic Reprint)
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Condition: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. Seller Inventory # 26920368/2
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