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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Extremum Problems for Eigenvalues of Elliptic Operators

Extremum Problems for Eigenvalues of Elliptic Operators

Henrot, Antoine

Paperback

Series: Frontiers in Mathematics

CalculusGeneral Mathematics

ISBN10: 3764377054
ISBN13: 9783764377052
Publisher: Birkhauser
Published: Jul 18 2006
Pages: 202
Weight: 0.76
Height: 0.45 Width: 6.69 Depth: 9.61
Language: English

Problems linking the shape of a domain or the coefficients of an elliptic operator to the sequence of its eigenvalues are among the most fascinating of mathematical analysis. In this book, we focus on extremal problems. For instance, we look for a domain which minimizes or maximizes a given eigenvalue of the Laplace operator with various boundary conditions and various geometric constraints. We also consider the case of functions of eigenvalues. We investigate similar questions for other elliptic operators, such as the Schrödinger operator, non homogeneous membranes, or the bi-Laplacian, and we look at optimal composites and optimal insulation problems in terms of eigenvalues.

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