Bhimani, DG and Manna, R and Nicola, F and Thangavelu, S and Trapasso, SI (2023) On heat equations associated with fractional harmonic oscillators. In: Fractional Calculus and Applied Analysis .
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Official URL: https://doi.org/10.1007/s13540-023-00208-6
Abstract
We establish some fixed-time decay estimates in Lebesgue spaces for the fractional heat propagator e-tHβ , t, β> 0 , associated with the harmonic oscillator H= - � + | x| 2 . We then prove some local and global wellposedness results for nonlinear fractional heat equations. © 2023, The Author(s).
| Item Type: | Journal Article |
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| Publication: | Fractional Calculus and Applied Analysis |
| Publisher: | Springer Nature |
| Additional Information: | The copyright for this article belongs to author. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 04 Mar 2024 09:39 |
| Last Modified: | 04 Mar 2024 09:39 |
| URI: | https://eprints.iisc.ac.in/id/eprint/84375 |
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