ON THE PERSISTENCE OF SPATIAL ANALYTICITY FOR THE BEAM EQUATION

dc.contributor.authorDufera, Tamirat T.
dc.contributor.authorMebrate, Sileshi
dc.contributor.authorTesfahun, Achenef
dc.date.accessioned2022-07-20T05:52:30Z
dc.date.available2022-07-20T05:52:30Z
dc.date.issued2022
dc.description.abstractPersistence of spatial analyticity is studied for solution of the beam equation utt + (m + Δ2) u + |u| p−1u = 0 on Rn × R. In particular, for a class of analytic initial data with a uniform radius of analyticity σ0, we obtain an asymptotic lower bound σ(t) c/√t on the uniform radius of analyticity σ(t) of solution u(·,t), as t → ∞. © 2022 Elsevier Inc. All rights reserveden_US
dc.identifier.citationDufera, T. T., Mebrate, S., & Tesfahun, A. (2022). On the persistence of spatial analyticity for the beam equation. Journal of Mathematical Analysis and Applications, 509(2), 126001. https://doi.org/10.1016/j.jmaa.2022.126001en_US
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/6472
dc.language.isoenen_US
dc.publisherJournal of Mathematical Analysis and Applicationsen_US
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectType of access: Open Accessen_US
dc.subjectBeam equationen_US
dc.subjectGlobal well-posedness lower bounden_US
dc.subjectRadius of analyticity Gevrey spacesen_US
dc.titleON THE PERSISTENCE OF SPATIAL ANALYTICITY FOR THE BEAM EQUATIONen_US
dc.typeArticleen_US
workflow.import.sourcescience

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