Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation - Couverture rigide
Synopsis
The term "weakly differentiable functions" in the title refers to those inte- n grable functions defined on an open subset of R whose partial derivatives in the sense of distributions are either LP functions or (signed) measures with finite total variation. The former class of functions comprises what is now known as Sobolev spaces, though its origin, traceable to the early 1900s, predates the contributions by Sobolev. Both classes of functions, Sobolev spaces and the space of functions of bounded variation (BV func- tions), have undergone considerable development during the past 20 years. From this development a rather complete theory has emerged and thus has provided the main impetus for the writing of this book. Since these classes of functions play a significant role in many fields, such as approximation theory, calculus of variations, partial differential equations, and non-linear potential theory, it is hoped that this monograph will be of assistance to a wide range of graduate students and researchers in these and perhaps other related areas. Some of the material in Chapters 1-4 has been presented in a graduate course at Indiana University during the 1987-88 academic year, and I am indebted to the students and colleagues in attendance for their helpful comments and suggestions.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation (Graduate Texts in Mathematics, 120)
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Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation.
Edité par
Springer-Verlag, New York, NY, 1989
ISBN 10 : 0387970177
ISBN 13 : 9780387970172
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Couverture rigide
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Hardcover. First Edition (1989); First Printing indicated by a complete numerical sequence. Fine: flawless. The binding is square and secure; the text is clean. Free of any ownership names, dates, addresses, notations, inscriptions, stamps, plates, or labels. A handsome, like-new copy, showing no flaws. Virtually 'As New'. NOT a Remainder, Book-Club, or Ex-Library. 8vo. (9.5 x 6.25 x 0.8 inches). xvi, 308 pages. Weight: 1 pound, 5.8 ounces. Graduate Texts in Mathematics Series, 120. Hardback: No DJ 'as issued'. First Edition (1989); First Printing indicated by a complete numerical sequence. N° de réf. du vendeur 49456
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Weakly Differentiable Functions
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Springer New York Sep 1989, 1989
ISBN 10 : 0387970177
ISBN 13 : 9780387970172
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The term 'weakly differentiable functions' in the title refers to those inte n grable functions defined on an open subset of R whose partial derivatives in the sense of distributions are either LP functions or (signed) measures with finite total variation. The former class of functions comprises what is now known as Sobolev spaces, though its origin, traceable to the early 1900s, predates the contributions by Sobolev. Both classes of functions, Sobolev spaces and the space of functions of bounded variation (BV func tions), have undergone considerable development during the past 20 years. From this development a rather complete theory has emerged and thus has provided the main impetus for the writing of this book. Since these classes of functions play a significant role in many fields, such as approximation theory, calculus of variations, partial differential equations, and non-linear potential theory, it is hoped that this monograph will be of assistance to a wide range of graduate students and researchers in these and perhaps other related areas. Some of the material in Chapters 1-4 has been presented in a graduate course at Indiana University during the 1987-88 academic year, and I am indebted to the students and colleagues in attendance for their helpful comments and suggestions. 332 pp. Englisch. N° de réf. du vendeur 9780387970172
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Weakly Differentiable Functions
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ISBN 10 : 0387970177
ISBN 13 : 9780387970172
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Couverture rigide
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Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation
Edité par
Springer-Verlag New York Inc., 1989
ISBN 10 : 0387970177
ISBN 13 : 9780387970172
Neuf
Couverture rigide
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Weakly Differentiable Functions
Edité par
Springer New York, Springer US Sep 1989, 1989
ISBN 10 : 0387970177
ISBN 13 : 9780387970172
Neuf
Couverture rigide
Signé
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Buch. Etat : Neu. Neuware -The term 'weakly differentiable functions' in the title refers to those inte n grable functions defined on an open subset of R whose partial derivatives in the sense of distributions are either LP functions or (signed) measures with finite total variation. The former class of functions comprises what is now known as Sobolev spaces, though its origin, traceable to the early 1900s, predates the contributions by Sobolev. Both classes of functions, Sobolev spaces and the space of functions of bounded variation (BV func tions), have undergone considerable development during the past 20 years. From this development a rather complete theory has emerged and thus has provided the main impetus for the writing of this book. Since these classes of functions play a significant role in many fields, such as approximation theory, calculus of variations, partial differential equations, and non-linear potential theory, it is hoped that this monograph will be of assistance to a wide range of graduate students and researchers in these and perhaps other related areas. Some of the material in Chapters 1-4 has been presented in a graduate course at Indiana University during the 1987-88 academic year, and I am indebted to the students and colleagues in attendance for their helpful comments and suggestions.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 332 pp. Englisch. N° de réf. du vendeur 9780387970172
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Weakly Differentiable Functions : Sobolev Spaces and Functions of Bounded Variation
Edité par
Springer New York, Springer US, 1989
ISBN 10 : 0387970177
ISBN 13 : 9780387970172
Neuf
Couverture rigide
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The term 'weakly differentiable functions' in the title refers to those inte n grable functions defined on an open subset of R whose partial derivatives in the sense of distributions are either LP functions or (signed) measures with finite total variation. The former class of functions comprises what is now known as Sobolev spaces, though its origin, traceable to the early 1900s, predates the contributions by Sobolev. Both classes of functions, Sobolev spaces and the space of functions of bounded variation (BV func tions), have undergone considerable development during the past 20 years. From this development a rather complete theory has emerged and thus has provided the main impetus for the writing of this book. Since these classes of functions play a significant role in many fields, such as approximation theory, calculus of variations, partial differential equations, and non-linear potential theory, it is hoped that this monograph will be of assistance to a wide range of graduate students and researchers in these and perhaps other related areas. Some of the material in Chapters 1-4 has been presented in a graduate course at Indiana University during the 1987-88 academic year, and I am indebted to the students and colleagues in attendance for their helpful comments and suggestions. N° de réf. du vendeur 9780387970172
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