Modern Methods in the Calculus of Variations: L^p Spaces (Springer Monographs in Mathematics)
Fonseca, Irene; Leoni, Giovanni
ISBN 10: 1441922601 ISBN 13: 9781441922601
Edité par Springer, 2010
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Couverture souple
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A propos de cet article
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In. N° de réf. du vendeur ria9781441922601_new
Synopsis :
This book is a unified presentation of both classical and contemporary results in the calculus of variations. It offers a comprehensive analysis of necessary and sufficient conditions for sequential lower semicontinuity of functionals on Lp spaces, followed by relaxation techniques. In recent years there has been a remarkable and renewed interest in this area, motivated in part by applications of allied disciplines. Based on a series of lectures by Irene Fonseca at Carnegie Mellon University, this book was written in response to the need to bring together in one volume contemporary developments in the calculus of variations. Because it is largely self-contained, the book will appeal to non-specialists and new students in this discipline. It is intended for use as a graduate text and as a reference for more experienced researchers working in the area.
Présentation de l'éditeur:
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Détails bibliographiques
Titre : Modern Methods in the Calculus of Variations...
Éditeur : Springer
Date d'édition : 2010
Reliure : Couverture souple
Etat : New
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Modern Methods in the Calculus of Variations
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ISBN 10 : 1441922601
ISBN 13 : 9781441922601
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Etat : New. 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. N° de réf. du vendeur 4172787
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Modern Methods in the Calculus of Variations: L^p Spaces (Springer Monographs in Mathematics)
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Modern Methods in the Calculus of Variations
Edité par
Springer New York, Springer US Nov 2010, 2010
ISBN 10 : 1441922601
ISBN 13 : 9781441922601
Neuf
Taschenbuch
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Taschenbuch. Etat : Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 616 pp. Englisch. N° de réf. du vendeur 9781441922601
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Modern Methods in the Calculus of Variations
Edité par
Springer New York Nov 2010, 2010
ISBN 10 : 1441922601
ISBN 13 : 9781441922601
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 616 pp. Englisch. N° de réf. du vendeur 9781441922601
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Modern Methods in the Calculus of Variations : L^p Spaces
Edité par
Springer New York, Springer US, 2010
ISBN 10 : 1441922601
ISBN 13 : 9781441922601
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N° de réf. du vendeur 9781441922601
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Modern Methods in the Calculus of Variations : L^p Spaces
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Modern Methods in the Calculus of Variations: L^p Spaces
Edité par
Springer-Verlag New York Inc., 2010
ISBN 10 : 1441922601
ISBN 13 : 9781441922601
Neuf
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Modern Methods in the Calculus of Variations
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Modern Methods in the Calculus of Variations: Lp Spaces
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Modern Methods in the Calculus of Variations
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