On the Cauchy problem for stochastic parabolic equations in Hölder spaces
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- by Kai Du and Jiakun Liu PDF
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Abstract:
In this paper, we establish a sharp $C^{2+\alpha }$-theory for stochastic partial differential equations of parabolic type in the whole space.References
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Additional Information
- Kai Du
- Affiliation: School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, New South Wales 2522, Australia
- Address at time of publication: Shanghai Center for Mathematical Sciences, Fudan University, Shanghai 200438, China
- MR Author ID: 918246
- Email: kdu@fudan.edu.cn
- Jiakun Liu
- Affiliation: School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, New South Wales 2522, Australia
- MR Author ID: 862211
- ORCID: 0000-0003-4409-4187
- Email: jiakunl@uow.edu.au
- Received by editor(s): March 17, 2016
- Received by editor(s) in revised form: May 18, 2017, and September 25, 2017
- Published electronically: November 27, 2018
- Additional Notes: The research of the first author was partially supported by National Science Foundation of China No.11801084
The research of the second author was supported by the Australian Research Council DE140101366
The second author is the corresponding author - © Copyright 2018 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 371 (2019), 2643-2664
- MSC (2010): Primary 35R60, 60H15
- DOI: https://doi.org/10.1090/tran/7533
- MathSciNet review: 3896092