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.date.accessioned	2024-01-30T05:10:09Z
dc.date.available	2024-01-30T05:10:09Z
dc.date.issued	2023-12	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.uri	https://doi.org/10.1007/s13540-023-00208-6	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8433
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.language.iso	en	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
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Fractional Calculus and Applied Analysis	en_US
dc.publication.originofpublisher	Foreign	en_US