Variational methods in shape optimization problems
The study of shape optimization problems involves a wide area of academic research and applications to the real world. In this work these problems are treated from the classical and modern perspectives and target a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems. Key topics: * Presents foundational introduction to shape optimization theory * Studies some classical problems: the isoperimetric problem and the Newton problem involving the best aerodynamical shape, optimization problems over classes of convex domains * Treats optimal control problems under a general scheme, giving a topological framework, a survey of G-convergence, problems governed by ODE * Examines shape optimization problems with Dirichlet and Neumann condition on the free boundary, the existence of classical solutions * Poses some open questions Driven by several good examples and illustrations, the book requires only a standard knowledge in the calculus of variations, differential equations, and functional analysis. TOC:Preface * Introduction to shape optimization theory and some classical problems * Optimization problems over classes of convex domains * Optimal control problems: a general scheme * Shape optimization problems with Dirichlet condition on the free boundary * Existence of classical solutions * Optimization problems for functions of eigenvalues * Bibliography * Index
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
-
0817643591
- Maße
-
25 cm
- Umfang
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VII, 216 S.
- Sprache
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Englisch
- Anmerkungen
-
graph. Darst.
Literaturverz. S. 205 - 213
- Erschienen in
-
Progress in non-linear differential equations and their applications ; Vol. 65
- Klassifikation
-
Mathematik
- Schlagwort
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Gestaltoptimierung
Variationsrechnung
- Ereignis
-
Veröffentlichung
- (wo)
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Boston, Basel, Berlin
- (wer)
-
Birkhäuser
- (wann)
-
2005
- Urheber
- Inhaltsverzeichnis
- Rechteinformation
-
Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Letzte Aktualisierung
-
11.06.2025, 13:46 MESZ
Datenpartner
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Bucur, Dorin
- Buttazzo, Giuseppe
- Birkhäuser
Entstanden
- 2005
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