On the persistence of spatial analyticity for the beam equation

Tamirat T. Dufera; Sileshi Mebrate; Achenef Tesfahun

doi:10.1016/j.jmaa.2022.126001

On the persistence of spatial analyticity for the beam equation

Tamirat T. Dufera, Sileshi Mebrate, Achenef Tesfahun

School of Sciences and Humanities

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

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→∞.

Original language	English
Article number	126001
Journal	Journal of Mathematical Analysis and Applications
Volume	509
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2022.126001
Publication status	Published - May 15 2022

Keywords

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

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2022.126001

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title = "On the persistence of spatial analyticity for the beam equation",

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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AU - Dufera, Tamirat T.

AU - Mebrate, Sileshi

AU - Tesfahun, Achenef

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N2 - 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→∞.

AB - 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→∞.

KW - Beam equation

KW - Gevrey spaces

KW - Global well-posedness lower bound

KW - Radius of analyticity

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On the persistence of spatial analyticity for the beam equation

Abstract

Keywords

ASJC Scopus subject areas

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