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Browsing Mathematics by Subject "Beam equation"

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    ON THE PERSISTENCE OF SPATIAL ANALYTICITY FOR THE BEAM EQUATION
    (Journal of Mathematical Analysis and Applications, 2022) Dufera, Tamirat T.; Mebrate, Sileshi; Tesfahun, Achenef
    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 → ∞. © 2022 Elsevier Inc. All rights reserved