Matching upper and lower moment bounds for a large class of stochastic PDEs driven by general space-time Gaussian noises-Reference-Cited by-同舟云学术

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Matching upper and lower moment bounds for a large class of stochastic PDEs driven by general space-time Gaussian noises

Published:2022-10-21 Issue: Volume: Page:
ISSN:2194-0401
Container-title:Stochastics and Partial Differential Equations: Analysis and Computations
language:en
Short-container-title:Stoch PDE: Anal Comp

Author:

Hu Yaozhong,Wang Xiong

Funder

Research fund by Johns Hopkins University

Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada

Centennial fund of University of Alberta

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Link

https://link.springer.com/content/pdf/10.1007/s40072-022-00278-2.pdf

Reference44 articles.

1. Hu, Y., Huang, J., Nualart, D., Sun, X.: Smoothness of the joint density for spatially homogeneous SPDEs. J. Math. Soc. Jpn. 67(4), 1605–1630 (2015). https://doi.org/10.2969/jmsj/06741605

2. Nualart, D., Quer-Sardanyons, L.: Existence and smoothness of the density for spatially homogeneous SPDEs. Potential Anal. 27(3), 281–299 (2007). https://doi.org/10.1007/s11118-007-9055-3

3. Carmona, R.A., Molchanov, S.A.: Parabolic Anderson problem and intermittency. Mem. Am. Math. Soc. 108(518), 125 (1994). https://doi.org/10.1090/memo/0518

4. Khoshnevisan, D.: Analysis of stochastic partial differential equations. In: CBMS Regional Conference Series in Mathematics, vol. 119, p. 116. Published for the Conference Board of the Mathematical Sciences, Washington; by the American Mathematical Society, Providence (2014). https://doi.org/10.1090/cbms/119

5. Balan, R.M., Conus, D.: Intermittency for the wave and heat equations with fractional noise in time. Ann. Probab. 44(2), 1488–1534 (2016). https://doi.org/10.1214/15-AOP1005

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