UID:
almahu_9948233783702882
Format:
1 online resource (xv, 215 pages) :
,
digital, PDF file(s).
ISBN:
9780511755255 (ebook)
Series Statement:
Cambridge studies in advanced mathematics ; 112
Content:
This book deals with equations that have played a central role in the interplay between partial differential equations and probability theory. Most of this material has been treated elsewhere, but it is rarely presented in a manner that makes it readily accessible to people whose background is probability theory. Many results are given new proofs designed for readers with limited expertise in analysis. The author covers the theory of linear, second order, partial differential equations of parabolic and elliptic types. Many of the techniques have antecedents in probability theory, although the book also covers a few purely analytic techniques. In particular, a chapter is devoted to the De Giorgi-Moser-Nash estimates, and the concluding chapter gives an introduction to the theory of pseudodifferential operators and their application to hypoellipticity, including the famous theorem of Lars Hormander.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
,
Kolmogorov's forward, basic results -- Non-elliptic regularity results -- Preliminary elliptic regularity results -- Nash theory -- Localization -- On a manifold -- Subelliptic estimates and Hörmander's theorem.
Additional Edition:
Print version: ISBN 9780521886512
Language:
English
Subjects:
Mathematics
URL:
https://doi.org/10.1017/CBO9780511755255
URL:
Volltext
(URL des Erstveröffentlichers)
