The blow-up solutions for fractional heat equations on torus and Euclidean space

dc.contributor.author	BHIMANI, DIVYANG G.	en_US
dc.date.accessioned	2023-02-08T03:47:34Z
dc.date.available	2023-02-08T03:47:34Z
dc.date.issued	2023-03	en_US
dc.identifier.citation	Nonlinear Differential Equations and Applications, 30(2), 19.	en_US
dc.identifier.issn	1021-9722	en_US
dc.identifier.issn	1420-9004	en_US
dc.identifier.uri	https://doi.org/10.1007/s00030-022-00828-6	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7602
dc.description.abstract	We produce a finite time blow-up solution for nonlinear fractional heat equation (& part;(t)u + (-delta)(beta /2u) = u(k)) in modulation and Fourier amalgam spaces on the torus T-d and the Euclidean space R-d. This complements several known local and small data global well-posedness results in modulation spaces on R-d. Our method of proof rely on the formal solution of the equation. This method should be further applied to other non-linear evolution equations.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Nature	en_US
dc.subject	Fractional heat equations	en_US
dc.subject	Blow-up solution	en_US
dc.subject	Modulation spaces	en_US
dc.subject	Fourier amalgam spaces	en_US
dc.subject	2023-FEB-WEEK1	en_US
dc.subject	TOC-FEB-2023	en_US
dc.subject	2023	en_US
dc.title	The blow-up solutions for fractional heat equations on torus and Euclidean space	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Nonlinear Differential Equations and Applications	en_US
dc.publication.originofpublisher	Foreign	en_US