REPRESENTATION OF THE GREEN’S FUNCTION OF THE NAVIER PROBLEM FOR THE BIHARMONIC EQUATION IN A BALL

The paper presents a new representation of the Green’s function of the Navier problem for the biharmonic equation in the unit ball and gives a representation of the solution of the Navier problem for the homogeneous biharmonic equation without explicit use of the Green’s function.

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Publication Details

Journal
Дифференциальные уравнения / Differential Equations
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034503025060083
Primary Topic
Experimental and Theoretical Physics Studies
Type
article
Field-Weighted Citation Impact
0.00
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article

REPRESENTATION OF THE GREEN’S FUNCTION OF THE NAVIER PROBLEM FOR THE BIHARMONIC EQUATION IN A BALL

В. В. Карачик
Дифференциальные уравнения / Differential Equations
Experimental and Theoretical Physics Studies
article

REPRESENTATION OF THE GREEN’S FUNCTION OF THE NAVIER PROBLEM FOR THE BIHARMONIC EQUATION IN A BALL

В. В. Карачик
article en

Abstract

The paper presents a new representation of the Green’s function of the Navier problem for the biharmonic equation in the unit ball and gives a representation of the solution of the Navier problem for the homogeneous biharmonic equation without explicit use of the Green’s function.

Дифференциальные уравнения / Differential EquationsVol. 61(6)
Openalex Percentile: Top 78%
Experimental and Theoretical Physics Studies
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REPRESENTATION OF THE GREEN’S FUNCTION OF THE NAVIER PROBLEM FOR THE BIHARMONIC EQUATION IN A BALL — В. В. Карачик · Дифференциальные уравнения / Differential Equations (2025) | TGRS Research Map | TGRS