Regularity of a fractional partial differential equation driven by space-time white noise
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- by Min Niu and Bin Xie PDF
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Abstract:
We will deal with one dimensional stochastic fractional order partial differential equation driven by space-time white noise. The existence and uniqueness of the solution and especially some regularities of the solution are investigated. The regularities of the solution in its time and space variables depend on the relation of the fractional order of its operator and coefficients.References
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Additional Information
- Min Niu
- Affiliation: Department of Mathematics and Mechanics, Beijing University of Science and Technology, Beijing, 100083, People’s Republic of China
- Email: niuminfly@sohu.com
- Bin Xie
- Affiliation: International Young Researchers Empowerment Center and Department of Mathematical Sciences, Faculty of Science, Shinshu University, 3-1-1 Asahi, Matsumoto, Nagano 390-8621, Japan
- Email: bxie@shinshu-u.ac.jp, bxie05@sohu.com
- Received by editor(s): June 3, 2009
- Published electronically: November 18, 2009
- Additional Notes: The first author was supported in part by the National Natural Science Foundation of China under grant No. 10871202.
The second author was supported in part by the Grant-in-Aid for young scientists (start-up) 20840019 (JSPS) and Grant-in-Aid for young scientists (B) 21740067(MEXT) - Communicated by: Walter Craig
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 1479-1489
- MSC (2010): Primary 60H15; Secondary 26A33, 35R60
- DOI: https://doi.org/10.1090/S0002-9939-09-10197-1
- MathSciNet review: 2578542