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.
A propos de l’auteur
Catherine Bandle, Universität Basel, Switzerland; Alfred Wagner, RWTH Aachen University, Germany.
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Langue Anglais ● Format EPUB ● Pages 292 ● ISBN 9783111025810 ● Taille du fichier 40.7 MB ● Maison d’édition De Gruyter ● Lieu Berlin/Boston ● Publié 2023 ● Édition 1 ● Téléchargeable 24 mois ● Devise EUR ● ID 8998030 ● Protection contre la copie Adobe DRM
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