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Hölder continuity property of the densities of SDEs with singular drift coefficients


 
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1. Title Title of document Hölder continuity property of the densities of SDEs with singular drift coefficients
 
2. Creator Author's name, affiliation, country Masafumi Hayashi; University of the Ryukyus and Japan Science and Technology Agency; Japan
 
2. Creator Author's name, affiliation, country Arturo Higa Kohatsu; Ritsumeikan University and Japan Science and Technology Agency; Japan
 
2. Creator Author's name, affiliation, country Go Yuki; Ritsumeikan University and Japan Science and Technology Agency; Japan
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Malliavin Calculus, non-smooth drift, density function, Fourier analysis.
 
3. Subject Subject classification Primary 60H07, Secondary 60H10
 
4. Description Abstract We prove that the solution of stochastic differential equations with deterministic diffusion coefficient admits a Hölder continuous density via a condition on the integrability of the Fourier transform of the drift coefficient. In our result, the integrability is an important factor to determine the order of Hölder continuity of the density. Explicit examples and some applications are given.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) grants of the Japanese government
 
7. Date (YYYY-MM-DD) 2014-08-26
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/2609
 
10. Identifier Digital Object Identifier 10.1214/EJP.v19-2609
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 19
 
12. Language English=en en
 
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