On the Solution of the Integral Equation for the Potential of Two Strips

A. K. Gautesen; W. E. Olmstead

doi:10.1137/0502028

On the Solution of the Integral Equation for the Potential of Two Strips

A. K. Gautesen, W. E. Olmstead

Engineering Sciences and Applied Mathematics

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

Abstract

An integral equation associated with the potential of two strips is solved in closed form and in series form. The closed form solution generalizes the well-known formula of Carleman for the single strip problem. The series solution concludes the work initiated by Shinbrot. Also, an erroneous solution found by Tricomi for a related problem is corrected.

Original language	English
Pages (from-to)	293-306
Journal	SIAM Journal on Mathematical Analysis
Volume	2
DOIs	https://doi.org/10.1137/0502028
State	Published - 1971

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title = "On the Solution of the Integral Equation for the Potential of Two Strips",

abstract = "An integral equation associated with the potential of two strips is solved in closed form and in series form. The closed form solution generalizes the well-known formula of Carleman for the single strip problem. The series solution concludes the work initiated by Shinbrot. Also, an erroneous solution found by Tricomi for a related problem is corrected.",

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year = "1971",

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AU - Olmstead, W. E.

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AB - An integral equation associated with the potential of two strips is solved in closed form and in series form. The closed form solution generalizes the well-known formula of Carleman for the single strip problem. The series solution concludes the work initiated by Shinbrot. Also, an erroneous solution found by Tricomi for a related problem is corrected.

U2 - 10.1137/0502028

DO - 10.1137/0502028

M3 - Article

VL - 2

SP - 293

EP - 306

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

ER -

On the Solution of the Integral Equation for the Potential of Two Strips

Abstract

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