ON THE PERSISTENCE OF SPATIAL ANALYTICITY FOR THE BEAM EQUATION
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Date
2022
Authors
Dufera, Tamirat T.
Mebrate, Sileshi
Tesfahun, Achenef
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of Mathematical Analysis and Applications
Abstract
Persistence 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 → ∞.
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Description
Keywords
Type of access: Open Access, Beam equation, Global well-posedness lower bound, Radius of analyticity Gevrey spaces
Citation
Dufera, 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.2022.126001