Please use this identifier to cite or link to this item:
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8433| Title: | On heat equations associated with fractional harmonic oscillators |
| Authors: | BHIMANI, DIVYANG G. Manna, Ramesh Nicola, Fabio Thangavelu, Sundaram Trapasso, S. Ivan Dept. of Mathematics |
| Keywords: | Fractional harmonic oscillator (primary) Dissipative estimates Heat equations Wellposedness |
| Issue Date: | Dec-2023 |
| Publisher: | Springer Nature |
| Citation: | Fractional Calculus and Applied Analysis, 26, 2470–2492. |
| Abstract: | We establish some fixed-time decay estimates in Lebesgue spaces for the fractional heat propagator e(-tH beta), t, beta > 0, associated with the harmonic oscillator H = -Delta+vertical bar x vertical bar(2). We then prove some local and global wellposedness results for nonlinear fractional heat equations. |
| URI: | https://doi.org/10.1007/s13540-023-00208-6 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8433 |
| ISSN: | 1311-0454 1314-2224 |
| Appears in Collections: | JOURNAL ARTICLES |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.