EJP Reading Tools

Triviality of the 2D stochastic Allen-Cahn equation

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Triviality of the 2D stochastic Allen-Cahn equation
2.	Creator	Author's name, affiliation, country	Martin Hairer; University of Warwick; United Kingdom
2.	Creator	Author's name, affiliation, country	Marc Daniel Ryser; Duke University; United States
2.	Creator	Author's name, affiliation, country	Hendrik Weber; University of Warwick; United Kingdom
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	SPDEs; Allen-Cahn equation; white noise; stochastic quantisation
3.	Subject	Subject classification	60H15; 81T08
4.	Description	Abstract	We consider the stochastic Allen-Cahn equation driven by mollified space-time white noise. We show that, as the mollifier is removed, the solutions converge weakly to 0, independently of the initial condition. If the intensity of the noise simultaneously converges to 0 at a sufficiently fast rate, then the solutions converge to those of the deterministic equation. At the critical rate, the limiting solution is still deterministic, but it exhibits an additional damping term.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	EPSRC; Royal Society; Philip Leverhulme Trust
7.	Date	(YYYY-MM-DD)	2012-05-30
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/1731
10.	Identifier	Digital Object Identifier	10.1214/EJP.v17-1731
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 17
12.	Language	English=en	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.