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 | |
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 |
14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
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