ON THE PERSISTENCE OF SPATIAL ANALYTICITY FOR THE BEAM EQUATION
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Dufera, Tamirat T.
Mebrate, Sileshi
Tesfahun, Achenef
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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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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
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