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Sobolev Spaces on Metric Measure Spaces: An Approach… - 9781316231579 - koop boek
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Juha Heinonen, Pekka Koskela, Nageswari Shanmugalingam, Jeremy T. Tyson (?):
Sobolev Spaces on Metric Measure Spaces: An Approach Based on Upper Gradients (New Mathematical Monographs) (2015) (?)
9781316231579 (?) of 1316231577
, in Engels, 447 bladsye, Cambridge University Press, Nuwe, eerste uitgawe, EBook, digitale aflaai
ebook for download, Free shipping.
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. Kindle Edition, Edition: 1, Format: Kindle eBook, Label: Cambridge University Press, Cambridge University Press, Product group: eBooks, Published: 2015-01-06, Release date: 2015-01-27, Studio: Cambridge University Press
Sleutelwoorde: Books, Science & Nature, Mathematics, Algebra, Calculus & Mathematical Analysis, Complex Analysis, Education, Higher Education, Popular Science, Maths, Scientific, Technical & Medical, Kindle Store, Kindle eBooks, Science & Maths, Pure Mathematics
Data uit 2017-04-19 21:36h
ISBN (alternatiewe skryfwyses): 1-316-23157-7, 978-1-316-23157-9
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