Improved Lower Bound for the Radius of Analyticity of Solutions to the Fifth Order, KdV-BBM Type Equation

Sileshi Mebrate; Tamirat Dufera; Achenef Tesfahun

doi:10.1007/s41980-024-00882-z

Improved Lower Bound for the Radius of Analyticity of Solutions to the Fifth Order, KdV-BBM Type Equation

Sileshi Mebrate
, Tamirat Dufera
, Achenef Tesfahun

School of Sciences and Humanities

Adama Science and Technology University

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

5 Citations (Scopus)

Abstract

We show that the uniform radius of spatial analyticity σ(t) of solutions at time t to the fifth order, KdV-BBM type equation cannot decay faster than 1/t for large t, given initial data that is analytic with fixed radius σ₀. This improves a recent result by Belayneh, Tegegn and the third author [2], where they obtained a 1/t decay of σ(t) for large time t.

Original language	English
Article number	62
Journal	Bulletin of the Iranian Mathematical Society
Volume	50
Issue number	4
DOIs	https://doi.org/10.1007/s41980-024-00882-z
Publication status	Published - Aug 2024

Keywords

Global well-posedness, Improved Lower bound
KdV-BBM model
Modified Gevrey spaces
Radius of analyticity

ASJC Scopus subject areas

General Mathematics

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10.1007/s41980-024-00882-z

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abstract = "We show that the uniform radius of spatial analyticity σ(t) of solutions at time t to the fifth order, KdV-BBM type equation cannot decay faster than 1/t for large t, given initial data that is analytic with fixed radius σ0. This improves a recent result by Belayneh, Tegegn and the third author [2], where they obtained a 1/t decay of σ(t) for large time t.",

keywords = "Global well-posedness, Improved Lower bound, KdV-BBM model, Modified Gevrey spaces, Radius of analyticity",

author = "Sileshi Mebrate and Tamirat Dufera and Achenef Tesfahun",

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T1 - Improved Lower Bound for the Radius of Analyticity of Solutions to the Fifth Order, KdV-BBM Type Equation

AU - Mebrate, Sileshi

AU - Dufera, Tamirat

AU - Tesfahun, Achenef

N1 - Publisher Copyright: © The Author(s) under exclusive licence to Iranian Mathematical Society 2024.

PY - 2024/8

Y1 - 2024/8

N2 - We show that the uniform radius of spatial analyticity σ(t) of solutions at time t to the fifth order, KdV-BBM type equation cannot decay faster than 1/t for large t, given initial data that is analytic with fixed radius σ0. This improves a recent result by Belayneh, Tegegn and the third author [2], where they obtained a 1/t decay of σ(t) for large time t.

AB - We show that the uniform radius of spatial analyticity σ(t) of solutions at time t to the fifth order, KdV-BBM type equation cannot decay faster than 1/t for large t, given initial data that is analytic with fixed radius σ0. This improves a recent result by Belayneh, Tegegn and the third author [2], where they obtained a 1/t decay of σ(t) for large time t.

KW - Global well-posedness, Improved Lower bound

KW - KdV-BBM model

KW - Modified Gevrey spaces

KW - Radius of analyticity

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SN - 1018-6301

VL - 50

JO - Bulletin of the Iranian Mathematical Society

JF - Bulletin of the Iranian Mathematical Society

IS - 4

M1 - 62

ER -

Improved Lower Bound for the Radius of Analyticity of Solutions to the Fifth Order, KdV-BBM Type Equation

Abstract

Keywords

ASJC Scopus subject areas

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