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Pekka Koskela, Nageswari Shanmugalingam (?):
Sobolev Spaces on Metric Measure Spaces, An Approach Based on Upper Gradients (2014) (?)
, in Engels, Cambridge University Press, Nuwe, EBook
Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis in diverse and potentially nonsmooth settings. Based on the fundamental concept of upper gradient, the notion of a Sobolev function was formulated in the setting of metric measure spaces supporting a Poincaré inequality. This coherent treatment from first principles is an ideal introduction to the subject for graduate students and a useful reference for experts. I... Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis in diverse and potentially nonsmooth settings. Based on the fundamental concept of upper gradient, the notion of a Sobolev function was formulated in the setting of metric measure spaces supporting a Poincaré inequality. This coherent treatment from first principles is an ideal introduction to the subject for graduate students and a useful reference for experts. It presents the foundations of the theory of such first-order Sobolev spaces, then explores geometric implications of the critical Poincaré inequality, and indicates numerous examples of spaces satisfying this axiom. A distinguishing feature of the book is its focus on vector-valued Sobolev spaces. The final chapters include proofs of several landmark theorems, including Cheeger's stability theorem for Poincaré inequalities under Gromov–Hausdorff convergence, and the Keith–Zhong self-improvement theorem for Poincaré inequalities. Productinformatie:Taal: Engels;Formaat: ePub met kopieerbeveiliging (DRM) van Adobe;Kopieerrechten: Het kopiëren van (delen van) de pagina's is niet toegestaan ;Geschikt voor: Alle e-readers te koop bij bol.com (of compatible met Adobe DRM). Telefoons/tablets met Google Android (1.6 of hoger) voorzien van bol.com boekenbol app. PC en Mac met Adobe reader software;ISBN10: 131623536X;ISBN13: 9781316235362; Engels | Ebook | 2014
Kategorie: School en studie, Wiskunde, Analyse
Data uit 2016-07-07 18:31h
ISBN (alternatiewe skryfwyses): 1-316-23536-X, 978-1-316-23536-2
Jeremy T. Tyson, Juha Heinonen, Nageswari Shanmugalingam, Pekka Koskela (?):
Sobolev Spaces on Metric Measure Spaces (2015) (?)
9781316235362 (?) of 131623536X
, in Engels, Cambridge University Press, Cambridge University Press, Cambridge University Press, Nuwe, EBook, digitale aflaai
Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis in diverse and potentially nonsmooth settings. Based on the fundamental concept of upper gradient, the notion of a Sobolev function was formulated in the setting of metric measure spaces supporting a Poincaré inequality. This coherent treatment from first principles is an ideal introduction to the subject for graduate students and a useful reference for experts. It presents the foundations of the theory of such first-order Sobolev spaces, then explores geometric implications of the critical Poincaré inequality, and indicates numerous examples of spaces satisfying this axiom. A distinguishing feature of the book is its focus on vector-valued Sobolev spaces. The final chapters include proofs of several landmark theorems, including Cheeger's stability theorem for Poincaré inequalities under Gromov-Hausdorff convergence, and the Keith-Zhong self-improvement theorem for Poincaré inequalities.
Kategorie: Science & Nature
Sleutelwoorde: Sobolev Spaces on Metric Measure Spaces Jeremy T. Tyson, Juha Heinonen, Nageswari Shanmugalingam, Pekka Koskela Mathematics Science & Nature 9781316235362
Data uit 2016-07-07 18:31h
ISBN (alternatiewe skryfwyses): 1-316-23536-X, 978-1-316-23536-2
Juha Heinonen;Pekka Koskela;Nageswari Shanmugalingam (?):
Sobolev Spaces on Metric Measure Spaces (?)
9781316235362 (?) of 131623536X
, in Engels, Nuwe, EBook, digitale aflaai
Kategorie: eBooks > Fachthemen Wissenschaft > Mathematik
Sleutelwoorde: MATHEMATICS ,MATHEMATIK ,NONFICTION
Data uit 2016-07-07 18:31h
ISBN (alternatiewe skryfwyses): 1-316-23536-X, 978-1-316-23536-2
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