Existence and Regularity Results for Some Shape Optimization Problems: 19 (Publications of the Scuola Normale Superiore) - Softcover

Velichkov, Bozhidar

9788876425264: Existence and Regularity Results for Some Shape Optimization Problems: 19 (Publications of the Scuola Normale Superiore)

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ISBN 10: 8876425268 ISBN 13: 9788876425264

Verlag: Edizioni della Normale, 2015

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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 Schr�dinger 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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�ber die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teor�a y cr�tica del dise�o y han escrito m�s de sesenta libros sobre la materia, muchos de los cuales se han convertido en �xitos de ventas. Tambi�n han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Dise�o del siglo XX, El dise�o industrial de la A a la Z, Scandinavian Design y Dise�o del siglo XXI.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag: Edizioni della Normale
Erscheinungsdatum: 2015
Sprache: Englisch
ISBN 10: 8876425268
ISBN 13: 9788876425264
Einband: Tapa blanda
Anzahl der Seiten: 368
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Existence and Regularity Results for Some Shape Optimization Problems

Bozhidar Velichkov

Verlag: Scuola Normale Superiore Apr 2015, 2015

ISBN 10: 8876425268 ISBN 13: 9788876425264

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Taschenbuch. Zustand: Neu. Neuware -�We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or ofmore general Schr�dinger 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.M�ller - lila Logistik, Am Buchberg 8, 74572 Blaufelden 368 pp. Englisch. Artikel-Nr. 9788876425264

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