Dufera, Tamirat T.Mebrate, SileshiTesfahun, Achenef2022-07-202022-07-202022Dufera, 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.2022.126001http://nur.nu.edu.kz/handle/123456789/6472Persistence 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 reservedenAttribution-NonCommercial-ShareAlike 3.0 United StatesType of access: Open AccessBeam equationGlobal well-posedness lower boundRadius of analyticity Gevrey spacesArticle