EJP Reading Tools

Homogenization of Fractional Kinetic Equations with Random Initial Data

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Homogenization of Fractional Kinetic Equations with Random Initial Data
2.	Creator	Author's name, affiliation, country	Gi-Ren Liu; National Taiwan University; Taiwan, Province of China
2.	Creator	Author's name, affiliation, country	Narn-Rueih Shieh; National Taiwan University; Taiwan, Province of China
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Homogenization; Small-scale limits; Riesz-Bessel fractional equation and system; Random initial data; Hermite expansion; Multiple It^{o}-Wiener integral; Long-range dependence
3.	Subject	Subject classification	60G60, 60H05,62M15
4.	Description	Abstract	We present the small-scale limits for the homogenization of a class of spatial-temporal random fields; the field arises from the solution of a certain fractional kinetic equation and also from that of a related two-equation system, subject to given random initial data. The space-fractional derivative of the equation is characterized by the composition of the inverses of the Riesz potential and the Bessel potential. We discuss the small-scale (the micro) limits, opposite to the well-studied large-scale limits, of such spatial-temporal random field. Our scaling schemes involve both the Riesz and the Bessel parameters, and also involve the rescaling in the initial data; our results are completely new-type scaling limits for such random fields.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Taiwan NSC
7.	Date	(YYYY-MM-DD)	2011-04-14
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/896
10.	Identifier	Digital Object Identifier	10.1214/EJP.v16-896
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 16
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
15.	Rights	Copyright and permissions	The Electronic Journal of Probability applies the Creative Commons Attribution License (CCAL) to all articles we publish in this journal. Under the CCAL, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles published in EJP, so long as the original authors and source are credited. This broad license was developed to facilitate open access to, and free use of, original works of all types. Applying this standard license to your work will ensure your right to make your work freely and openly available. Summary of the Creative Commons Attribution License You are free to copy, distribute, display, and perform the work to make derivative works to make commercial use of the work under the following condition of Attribution: others must attribute the work if displayed on the web or stored in any electronic archive by making a link back to the website of EJP via its Digital Object Identifier (DOI), or if published in other media by acknowledging prior publication in this Journal with a precise citation including the DOI. For any further reuse or distribution, the same terms apply. Any of these conditions can be waived by permission of the Corresponding Author.