On the persistence of spatial analyticity for the beam equation

Dufera T.T. Mebrate S. Tesfahun A.
15 May 2022 Academic Press Inc.

Journal of Mathematical Analysis and Applications
2022 #509 Issue 2

Persistence of spatial analyticity is studied for solution of the beam equation u_tt+(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→∞.

Beam equation , Gevrey spaces , Global well-posedness lower bound , Radius of analyticity

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Department of Mathematics, Nazarbayev University, Qabanbai Batyr Avenue 53, Nur-Sultan, 010000, Kazakhstan
Department of Mathematics, Adama University of Science and Technology, Ethiopia

Department of Mathematics
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