FUNCTIONAL ANALYSIS, SOBOLEV SPACES, AND CALCULUS OF VARIATIONS

PABLO PEDREGAL

ISBN 10: 3031492455 / ISBN 13: 9783031492457

Verlag: SPRINGER, 2024

Beschreibung

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Bestandsnummer des Verkäufers AD 9783031492457

Bibliografische Details

• Titel: FUNCTIONAL ANALYSIS, SOBOLEV SPACES, AND CALCULUS OF VARIATIONS
• Verlag: SPRINGER
• Erscheinungsjahr: 2024
• Sprache: Englisch
• ISBN-10: 3031492455
• ISBN-13: 9783031492457
• Einband: Paperback
• Zustand: Brand New

Über diesen Titel

Inhaltsangabe

After a first general chapter to place optimization problems in infinite-dimensional spaces in perspective, the first part of the book focuses on the initial important concepts in Functional Analysis and introduces Sobolev spaces in dimension one as a preliminary, simpler case (much in the same way as in the successful book of H.

Über die Autorin bzw. den Autor

Pablo Pedregal received his Ph.D. degree in Mathematics from the University of Minnesota at the end of 1989, under the guidance of D. Kinderlehrer. Soon after that, he became Associate Professor at U. Complutense. During the academic year 1994–95 he moved to U. de Castilla-La Mancha where he led the Math Department for several years. In 1997 he became full professor. His field of interest focuses on variational techniques applied to optimization in a broad sense, including, but not limited to, calculus of variations―especially vector, non-convex problems―, optimal design in continuous media, optimal control, etc, and more recently he has explored variational ideas in areas like inverse problems, and dynamical systems, as well as optimal control problems governed by hyper-elasticity. He has regularly traveled to research centers in the USA and Europe. He has written more than one hundred research articles, seven specialized books (at least three of them with Springer), and some other of a more didactic style for undergraduates.