The Library
Estimates for the heat flow in optimal spaces of unbounded initial data in Rd and applications to the Ornstein–Uhlenbeck semigroup
Tools
Tools
Tools
Robinson, James C. and Rodríguez-Bernal, Anibal (2023) Estimates for the heat flow in optimal spaces of unbounded initial data in Rd and applications to the Ornstein–Uhlenbeck semigroup. Mediterranean Journal of Mathematics, 20 (2). 70. doi:10.1007/s00009-023-02293-6 ISSN 1660-5446.
|
PDF
WRAP-Estimates-for-the-heat-flow-in-optimal-spaces-of-unbounded-initial-data-in-Rd-and-applications-to-the-Ornstein-Uhlenbeck-semigroup-Robinson-2023.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons Attribution 4.0. Download (475Kb) | Preview |
Official URL: http://dx.doi.org/10.1007/s00009-023-02293-6
Abstract
In this paper, we improve some estimates from for solutions of the heat equation with initial conditions that are large ‘at infinity’ and employ them to obtain suitable estimates on the solutions of the Ornstein–Uhlenbeck semigroup [solutions of ut−Δu=αx⋅∇u] for the same class of unbounded data.
| Item Type: | Journal Article | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
| Library of Congress Subject Headings (LCSH): | Heat equation, Semigroups, Calculus, Asymptotic expansions | ||||||||||||
| Journal or Publication Title: | Mediterranean Journal of Mathematics | ||||||||||||
| Publisher: | Springer | ||||||||||||
| ISSN: | 1660-5446 | ||||||||||||
| Official Date: | 19 January 2023 | ||||||||||||
| Dates: |
|
||||||||||||
| Volume: | 20 | ||||||||||||
| Number: | 2 | ||||||||||||
| Number of Pages: | 21 | ||||||||||||
| Article Number: | 70 | ||||||||||||
| DOI: | 10.1007/s00009-023-02293-6 | ||||||||||||
| Status: | Peer Reviewed | ||||||||||||
| Publication Status: | Published | ||||||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||||||
| Date of first compliant deposit: | 6 March 2023 | ||||||||||||
| Date of first compliant Open Access: | 7 March 2023 | ||||||||||||
| RIOXX Funder/Project Grant: |
|
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
