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A Change-of-Variable Formula with Local Time on Curves

✍ Scribed by Goran Peskir


Book ID
106436705
Publisher
Springer US
Year
2005
Tongue
English
Weight
272 KB
Volume
18
Category
Article
ISSN
0894-9840

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✦ Synopsis


Let X = (X t ) t 0 be a continuous semimartingale and let b: R + β†’ R be a continuous function of bounded variation.


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Local change of coordinates, providing an appropriate transformation of functions on a domain QcR" into functionson Rn and R $ . is a well-knownand frequently used technical tool in the theory of SoBoLEv-spaces Wm9p (a) and partial differential equations. In this paper we propose a. corresponding tr