On heat equations associated with fractional harmonic oscillators
| dc.contributor.author | BHIMANI, DIVYANG G. | en_US |
| dc.contributor.author | Manna, Ramesh | en_US |
| dc.contributor.author | Nicola, Fabio | en_US |
| dc.contributor.author | Thangavelu, Sundaram | en_US |
| dc.contributor.author | Trapasso, S. Ivan | en_US |
| dc.contributor.department | Dept. of Mathematics | en_US |
| dc.date.accessioned | 2024-01-30T05:10:09Z | |
| dc.date.available | 2024-01-30T05:10:09Z | |
| dc.date.issued | 2023-12 | en_US |
| dc.description.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. | en_US |
| dc.identifier.citation | Fractional Calculus and Applied Analysis, 26, 2470–2492. | en_US |
| dc.identifier.issn | 1311-0454 | en_US |
| dc.identifier.issn | 1314-2224 | en_US |
| dc.identifier.sourcetitle | Fractional Calculus and Applied Analysis | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s13540-023-00208-6 | |
| dc.identifier.uri | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8433 | |
| dc.language.iso | en | en_US |
| dc.publication.originofpublisher | Foreign | en_US |
| dc.publisher | Springer Nature | en_US |
| dc.subject | Fractional harmonic oscillator (primary) | en_US |
| dc.subject | Dissipative estimates | en_US |
| dc.subject | Heat equations | en_US |
| dc.subject | Wellposedness | en_US |
| dc.title | On heat equations associated with fractional harmonic oscillators | en_US |
| dc.type | Article | en_US |