Shape optimization and spectral theory

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Tác giả: Antoine Henrot

Ngôn ngữ: eng

ISBN-13: 978-3110550887

ISBN-13: 978-3110551181

Ký hiệu phân loại: 100 Philosophy, parapsychology and occultism, psychology

Thông tin xuất bản: Warsaw, Berlin : De Gruyter, 2017

Mô tả vật lý: 1 electronic resource (474 p.)

Bộ sưu tập: Tài liệu truy cập mở

ID: 204761

"Shape optimization and spectral theory" is a survey book aiming to give an overview of recent results in spectral geometry and its links with shape optimization. It covers most of the issues which are important for people working in PDE and differential geometry interested in sharp inequalities and qualitative behaviour for eigenvalues of the Laplacian with different kind of boundary conditions (Dirichlet, Robin and Steklov). This includes: existence of optimal shapes, their regularity, the case of special domains like triangles, isospectrality, quantitative form of the isoperimetric inequalities, optimal partitions, universal inequalities and numerical results. Much progress has been made in these extremum problems during the last ten years and this edited volume presents a valuable update to a wide community interested in these topics.
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