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.
Reihe
Sprache
Verlagsort
Zielgruppe
Illustrationen
27
27 s/w Abbildungen
27 b/w ill.
Dateigröße
ISBN-13
978-3-11-102581-0 (9783111025810)
Schweitzer Klassifikation
Catherine Bandle
, Universität Basel, Switzerland;
Alfred Wagner
, RWTH Aachen University, Germany.
