Shape optimization and spectral theory

Shape optimization and spectral theory

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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 inequal...

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Detalles Bibliográficos
Otros Autores: Henrot, Antoine, author (author), Girouard, Alexandre, contributor (contributor), Henrot, Antoine, contributor, Siudeja, Bartłomiej A., contributor, Helffer, Bernard, contributor, Velichkov, Bozhidar, contributor, Bucur, Dorin, contributor, Oudet, Edouard, contributor, Buttazzo, Giuseppe, contributor, De Philippis, Guido, contributor, Polterovich, Iosif, contributor, Kennedy, James, contributor, Lamboley, Jimmy, contributor, Brasco, Lorenzo, contributor, Ashbaugh, Mark S., contributor, Pierre, Michel, contributor, Antunes, Pedro R. S., contributor, Freitas, Pedro, contributor, Laugesen, Richard S., contributor, Bonnaillie-Noël, Virginie, contributor
Formato: Libro electrónico
Idioma:Inglés
Publicado: Warsaw ; Berlin : De Gruyter 2017
[2017]
Materias:
MATHEMATICS / Optimization.
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009439845906719
Descripción
Sumario:"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
Descripción Física:1 online resource
ISBN:9783110550887

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