Pointwise convergence for the heat equation on tori Tn and waveguide manifold Tn×Rm

dc.contributor.author	BHIMANI, DIVYANG G.	en_US
dc.contributor.author	DALAI, RUPAK K.	en_US
dc.date.accessioned	2025-06-11T05:01:40Z
dc.date.available	2025-06-11T05:01:40Z
dc.date.issued	2025-08	en_US
dc.identifier.citation	Journal of Mathematical Analysis and Applications, 548(01), 129389.	en_US
dc.identifier.issn	0022-247X	en_US
dc.identifier.issn	1096-0813	en_US
dc.identifier.uri	https://doi.org/10.1016/j.jmaa.2025.129389	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10126
dc.description.abstract	We completely characterize the weighted Lebesgue spaces on the torus Tn and waveguide manifold Tn×Rm for which the solutions of the heat equation converge pointwise (as time tends to zero) to the initial data. In the process, we also characterize the weighted Lebesgue spaces for the boundedness of maximal operators on the torus and waveguide manifold, which may be of independent interest.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Heat kernel	en_US
dc.subject	Pointwise convergence	en_US
dc.subject	Maximal operators	en_US
dc.subject	Weighted inequalities	en_US
dc.subject	Waveguide manifold	en_US
dc.subject	2025	en_US
dc.title	Pointwise convergence for the heat equation on tori Tn and waveguide manifold Tn×Rm	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Mathematical Analysis and Applications	en_US
dc.publication.originofpublisher	Foreign	en_US