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Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation: 120 (Graduate Texts in Mathematics, 120) - Hardcover
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.
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Synopsis
Demanding text for well-prepared graduate students of mathematics; derives from a course taught 1987-88 at Indiana University (Bloomington) and treats the fairly esoteric topic indicated by the title. Five chapters, with exercises and historical notes. Nicely composed and produced. (NW) Annotation copyright Book News, Inc. Portland, Or.
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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
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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. Condition: 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. Seller Inventory # 9780387970172
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Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation
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Springer-Verlag New York Inc., 1989
ISBN 10: 0387970177
ISBN 13: 9780387970172
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Weakly Differentiable Functions : Sobolev Spaces and Functions of Bounded Variation
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Springer New York, Springer US, 1989
ISBN 10: 0387970177
ISBN 13: 9780387970172
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Buch. Condition: 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. Seller Inventory # 9780387970172
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Weakly Differentiable Functions
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Springer New York, Springer US Sep 1989, 1989
ISBN 10: 0387970177
ISBN 13: 9780387970172
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Buch. Condition: 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. Seller Inventory # 9780387970172
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Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation.
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Springer-Verlag, New York, NY, 1989
ISBN 10: 0387970177
ISBN 13: 9780387970172
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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. Seller Inventory # 49456
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Weakly Differentiable Functions
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