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?We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of more general Schrödinger operators. The domains are subject to perimeter and volume constraints; we also take into account the possible presence of geometric obstacles. We investigate the properties of the optimal sets and of the optimal state functions. In particular, we prove that the eigenfunctions are Lipschitz continuous up to the boundary and that the optimal sets subject to the perimeter constraint have regular free boundary. We also consider spectral optimization problems in non-Euclidean settings and optimization problems for potentials and measures, as well as multiphase and optimal partition problems.
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Contenuti
1. Introduction and examples.- 2. Shape optimization problems in a box.- 3. Capacitary measures.- 4. Subsolutions of shape functionals.- 5. Shape supersolutions and quasi-minimizers.- 6. Spectral optimization problems in R^d.- 7. Shape optimization problems for graphs.- Bibliography.
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Existence and Regularity Results for Some Shape Optimization Problems
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides a detailed and self-contained introduction to the recent results and techniques in shape optimization Presents new techniques concerning the regularity of the optimal sets Self-contained exposition requiring only basic knowledge of. Codice articolo 24408025
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Existence and Regularity Results for Some Shape Optimization Problems
Editore:
Scuola Normale Superiore Apr 2015, 2015
ISBN 10: 8876425268
ISBN 13: 9788876425264
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of more general Schrödinger operators. The domains are subject to perimeter and volume constraints; we also take into account the possible presence of geometric obstacles. We investigate the properties of the optimal sets and of the optimal state functions. In particular, we prove that the eigenfunctions are Lipschitz continuous up to the boundary and that the optimal sets subject to the perimeter constraint have regular free boundary. We also consider spectral optimization problems in non-Euclidean settings and optimization problems for potentials and measures, as well as multiphase and optimal partition problems. 368 pp. Englisch. Codice articolo 9788876425264
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Existence and Regularity Results for Some Shape Optimization Problems
Editore:
Scuola Normale Superiore Apr 2015, 2015
ISBN 10: 8876425268
ISBN 13: 9788876425264
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. Neuware -¿We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or ofmore general Schrödinger operators. The domains are subject to perimeter and volume constraints; we also take into account the possible presence of geometric obstacles. We investigate the properties of the optimal sets and of the optimal state functions. In particular, we prove that the eigenfunctions are Lipschitz continuous up to the boundary and that the optimal sets subject to the perimeter constraint have regular free boundary. We also consider spectral optimization problems in non-Euclidean settings and optimization problems for potentials and measures, as well as multiphase and optimal partition problems.Müller - lila Logistik, Am Buchberg 8, 74572 Blaufelden 368 pp. Englisch. Codice articolo 9788876425264
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Existence and Regularity Results for Some Shape Optimization Problems (Publications of the Scuola Normale Superiore)
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Condizione: New. pp. 349. Codice articolo 26372814725
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Existence and Regularity Results for Some Shape Optimization Problems (Publications of the Scuola Normale Superiore)
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Condizione: New. PRINT ON DEMAND pp. 349. Codice articolo 18372814735
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Existence and Regularity Results for Some Shape Optimization Problems (Publications of the Scuola Normale Superiore)
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Condizione: New. Print on Demand pp. 349. Codice articolo 374279258
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Existence and Regularity Results for Some Shape Optimization Problems
Editore:
Scuola Normale Superiore, 2015
ISBN 10: 8876425268
ISBN 13: 9788876425264
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of more general Schrödinger operators. The domains are subject to perimeter and volume constraints; we also take into account the possible presence of geometric obstacles. We investigate the properties of the optimal sets and of the optimal state functions. In particular, we prove that the eigenfunctions are Lipschitz continuous up to the boundary and that the optimal sets subject to the perimeter constraint have regular free boundary. We also consider spectral optimization problems in non-Euclidean settings and optimization problems for potentials and measures, as well as multiphase and optimal partition problems. Codice articolo 9788876425264
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Existence and Regularity Results for Some Shape Optimization Problems
Da: Revaluation Books, Exeter, Regno Unito
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Paperback. Condizione: Brand New. 2015 edition. 349 pages. 9.40x6.00x1.10 inches. In Stock. Codice articolo zk8876425268
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