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Extremum Problems for Eigenvalues of Elliptic Operators

Antoine Henrot (Autor)

Buch | Softcover

X, 202 Seiten

2006
Springer Basel (Verlag)
978-3-7643-7705-2 (ISBN)

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This book focuses on extremal problems. For instance, it seeks a domain which minimizes or maximizes a given eigenvalue of the Laplace operator with various boundary conditions and various geometric constraints. Also considered is the case of functions of eigenvalues. The text probes similar questions for other elliptic operators, such as Schrodinger, and explores optimal composites and optimal insulation problems in terms of eigenvalues.

Eigenvalues of elliptic operators.- Tools.- The first eigenvalue of the Laplacian-Dirichlet.- The second eigenvalue of the Laplacian-Dirichlet.- The other Dirichlet eigenvalues.- Functions of Dirichlet eigenvalues.- Other boundary conditions for the Laplacian.- Eigenvalues of Schrödinger operators.- Non-homogeneous strings and membranes.- Optimal conductivity.- The bi-Laplacian operator.

Erscheint lt. Verlag	18.7.2006
Reihe/Serie	Frontiers in Mathematics
Zusatzinfo	X, 202 p.
Verlagsort	Basel
Sprache	englisch
Maße	170 x 244 mm
Gewicht	440 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Naturwissenschaften ► Physik / Astronomie
Schlagworte	Dirichlet operator • eigenvalue • Eigenwert • elliptic operator • Elliptische Funktion • extremum problems • Hardcover, Softcover / Mathematik/Analysis • HC/Mathematik/Analysis • partial differential equation • Schrödinger operator
ISBN-10	3-7643-7705-4 / 3764377054
ISBN-13	978-3-7643-7705-2 / 9783764377052
Zustand	Neuware