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

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dc.contributor.authorBHIMANI, DIVYANG G.en_US
dc.contributor.authorDALAI, RUPAK K.en_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.date.accessioned2025-06-11T05:01:40Z
dc.date.available2025-06-11T05:01:40Z
dc.date.issued2025-08en_US
dc.description.abstractWe 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.identifier.citationJournal of Mathematical Analysis and Applications, 548(01), 129389.en_US
dc.identifier.issn0022-247Xen_US
dc.identifier.issn1096-0813en_US
dc.identifier.sourcetitleJournal of Mathematical Analysis and Applicationsen_US
dc.identifier.urihttps://doi.org/10.1016/j.jmaa.2025.129389
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10126
dc.language.isoenen_US
dc.publication.originofpublisherForeignen_US
dc.publisherElsevier B.V.en_US
dc.subjectHeat kernelen_US
dc.subjectPointwise convergenceen_US
dc.subjectMaximal operatorsen_US
dc.subjectWeighted inequalitiesen_US
dc.subjectWaveguide manifolden_US
dc.subject2025en_US
dc.titlePointwise convergence for the heat equation on tori Tn and waveguide manifold Tn×Rmen_US
dc.typeArticleen_US

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