Indexing metadata

Correlation-length bounds, and estimates for intermittent islands in parabolic SPDEs


 
Dublin Core PKP Metadata Items Metadata for this Document
 
1. Title Title of document Correlation-length bounds, and estimates for intermittent islands in parabolic SPDEs
 
2. Creator Author's name, affiliation, country Daniel Conus; Lehigh University; United States
 
2. Creator Author's name, affiliation, country Mathew Joseph; University of Utah; United States
 
2. Creator Author's name, affiliation, country Davar Khoshnevisan; University of Utah; United States
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) The stochastic heat equation; intermittency; islands; peaks
 
3. Subject Subject classification 60H15; 35R60.
 
4. Description Abstract

We consider the nonlinear stochastic heat equation in one dimension. Under some conditions on the nonlinearity, we show that the "peaks" of the solution are rare, almost fractal like. We also provide an upper bound on the length of the "islands", the regions of large values. These results are obtained by analyzing the correlation length of the solution.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) National Science Foundation
 
7. Date (YYYY-MM-DD) 2012-12-08
 
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/2429
 
10. Identifier Digital Object Identifier 10.1214/EJP.v17-2429
 
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.