Extremum Problems for Eigenvalues of Elliptic Operators
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The work Extremum Problems for Eigenvalues of Elliptic Operators represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Extremum Problems for Eigenvalues of Elliptic Operators
Resource Information
The work Extremum Problems for Eigenvalues of Elliptic Operators represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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 Extremum Problems for Eigenvalues of Elliptic Operators
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 by Antoine Henrot
 Language

 eng
 eng
 Summary
 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 biLaplacian, and we look at optimal composites and optimal insulation problems in terms of eigenvalues. Providing also a selfcontained presentation of classical isoperimetric inequalities for eigenvalues and 30 open problems, this book will be useful for pure and applied mathematicians, particularly those interested in partial differential equations, the calculus of variations, differential geometry, or spectral theory
 Dewey number
 515
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 PLZMF7MyGTU
 Language note
 English
 LC call number
 QA329329.9
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Frontiers in Mathematics,
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