This book investigates how domain dependent quantities from geometry and physics behave when the domain is perturbed. Of particular interest are volume- and perimeter-preserving perturbations. The first and second derivatives with respect to the perturbation are exploited for domain functionals like eigenvalues, energies and geometrical quantities. They provide necessary conditions for optimal domains and are useful when global approaches like symmetrizations fail. The book is exampledriven and illustrates the usefulness of domain variations in various applications.
€159.95
关于作者
Catherine Bandle, Universität Basel, Switzerland; Alfred Wagner, RWTH Aachen University, Germany.
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语言 英语 ● 格式 EPUB ● 网页 292 ● ISBN 9783111025810 ● 文件大小 40.7 MB ● 出版者 De Gruyter ● 市 Berlin/Boston ● 发布时间 2023 ● 版 1 ● 下载 24 个月 ● 货币 EUR ● ID 8998030 ● 复制保护 Adobe DRM
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