Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation Ziemer, William P. P. von Ziemer, William P. P.: Used: Good Paperback (2012)

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Springer, 1989, in-8 cartonnage �diteur, 307 pages. Couverture en bel �tat. Int�rieur frais. Exemplaire de biblioth�que : petit code barre en pied de 1re de couv., cotation au dos, rares et discrets petits tampons � l?int�rieur de l?ouvrage. [BT5+].

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Bibliografische Details

Titel: Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation Ziemer, William P. P.
Verlag: Springer
Ver�ffentlichungsdatum: 2012
Sprache: Englisch
ISBN-10: 1461269857
ISBN-13: 9781461269854
Bindung: Paperback
Zustand: Used: Good

�ber diesen Titel

Inhaltsangabe

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.

Rese�a del editor

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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