Modern Methods in the Calculus of Variations

Irene Fonseca|Giovanni Leoni

ISBN 10: 1441922601 / ISBN 13: 9781441922601

Verlag: Springer New York, 2010

Beschreibung

Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presented in an unified, contemporary way, a comprehensive analysis of necessary and sufficient conditions for sequential lower semicontinuity of functionals on Lp spaces, followed by relaxation techniquesThis is the first of two books on meth.

Bestandsnummer des Verkäufers 4172787

Bibliografische Details

• Titel: Modern Methods in the Calculus of Variations
• Verlag: Springer New York
• Erscheinungsjahr: 2010
• Sprache: Englisch
• ISBN-10: 1441922601
• ISBN-13: 9781441922601
• Einband: Softcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

This book presents in a unified way both classical and contemporary results in the Calculus of Variations. It brings together in one place the contemporary developments in the calculus of variations based on a series of lectures  at Carnegie Mellon University.

Von der hinteren Coverseite

This is the first of two books on methods and techniques in the calculus of variations. Contemporary arguments are used throughout the text to streamline and present in a unified way classical results, and to provide novel contributions at the forefront of the theory.

This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in L^p spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be undertaken within the framework of Sobolev spaces.

This book is self-contained. All the statements are fully justified and proved, with the exception of basic results in measure theory, which may be found in any good textbook on the subject. It also contains several exercises. Therefore,it may be used both as a graduate textbook as well as a reference text for researchers in the field.

Irene Fonseca is the Mellon College of Science Professor of Mathematics and is currently the Director of the Center for Nonlinear Analysis in the Department of Mathematical Sciences at Carnegie Mellon University.

Her research interests lie in the areas of continuum mechanics, calculus of variations, geometric measure theory and partial differential equations.

Giovanni Leoni is also a professor in the Department of Mathematical Sciences at Carnegie Mellon University. He focuses his research on calculus of variations, partial differential equations and geometric measure theory with special emphasis on applications to problems in continuum mechanics and in materials science.