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arXiv:0709.1919 [math.PR]AbstractReferencesReviewsResources

Symmetric $α$-stable subordinators and Cauchy problems

Erkan Nane

Published 2007-09-12, updated 2007-09-14Version 2

We survey the results in Nane (E. Nane, Higher order PDE's and iterated processes, Trans. American Math. Soc. (to appear)) and Baeumer, Meerschaert, and Nane (B. Baeumer, M.M. Meerschaert and E. Nane, Brownian subordinators and fractional Cauchy problems: Submitted (2007)) which deal with PDE connection of some iterated processes, and obtain a new probabilistic proof of the equivalence of the higher order PDE's and fractional in time PDE's.

Comments: 7 pages, survey paper, changes to the initial use of fractional Cauchy problem
Journal: IJPAM (International Journal of Pure and Applied Mathematics) Volume 42 no.2 (2008), 217-225
Categories: math.PR, math.AP
Subjects: 60J65, 60K99, 35C99
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