Shape optimization and spectral theory

Antoine Henrot (Autor)

Buch | Hardcover

474 Seiten

2017
De Gruyter Open (Verlag)
978-3-11-055085-6 (ISBN)

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„Shape optimization and spectral theory” is a survey book aiming to give an overview of recent results in spectral geometry and its links with shape optimization.It covers most of the issues which are important for people working in PDE and differential geometry interested in sharp inequalities and qualitative behaviour for eigenvalues of the Laplacian with different kind of boundary conditions (Dirichlet, Robin and Steklov). This includes: existence of optimal shapes, their regularity, the case of special domains like triangles, isospectrality, quantitative form of the isoperimetric inequalities, optimal partitions, universal inequalities and numerical results.Much progress has been made in these extremum problems during the last ten years and this edited volume presents a valuable update to a wide community interested in these topics. List of contributorsAntunes Pedro R.S., Ashbaugh Mark, Bonnaillie-Noël Virginie, Brasco Lorenzo, Bucur Dorin, Buttazzo Giuseppe, De Philippis Guido, Freitas Pedro, Girouard Alexandre, Helffer Bernard, Kennedy James, Lamboley Jimmy, Laugesen Richard S., Oudet Edouard, Pierre Michel, Polterovich Iosif, Siudeja Bartłomiej A., Velichkov Bozhidar

Antoine Henrot, Universite de Lorraine and Ecole des Mines de Nancy, France

Erscheinungsdatum	16.05.2017
Zusatzinfo	31 b/w and 32 col. ill., 6 b/w tbl.
Verlagsort	Warschau/Berlin
Sprache	englisch
Maße	170 x 240 mm
Gewicht	1073 g
Themenwelt	Geisteswissenschaften ► Philosophie
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie
Schlagworte	Differential Equations and Dynamical Systems • General Mathematics • Geometry • Geometry and Topology • Mathematics • Optimization • Philosophie • Spektraltheorie • Staatsrechtslehrer • veroeffentlichungen • VVSTL77
ISBN-10	3-11-055085-7 / 3110550857
ISBN-13	978-3-11-055085-6 / 9783110550856
Zustand	Neuware