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Shape optimization and spectral theory

Shape optimization and spectral theory

Hardcover

PhilosophyGeneral MathematicsGeometry

ISBN10: 3110550857
ISBN13: 9783110550856
Publisher: De Gruyter Brill Inc
Published: May 8 2017
Pages: 474
Weight: 2.93
Height: 1.44 Width: 7.00 Depth: 10.00
Language: English

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.

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Philosophy