KFU. Card publication. On Cauchy Problem Solution for a Harmonic Function in a Simply Connected Domain with Multi-Component Boundary

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FEDERAL UNIVERSITY

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ON CAUCHY PROBLEM SOLUTION FOR A HARMONIC FUNCTION IN A SIMPLY CONNECTED DOMAIN WITH MULTI-COMPONENT BOUNDARY

Form of presentation

Articles in international journals and collections

Year of publication

2024

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Authors, employees of KFU

Shirokova Elena Aleksandrovna, author

Other authors

Ivanshin Petr Nikolaevich, author

Bibliographic description in the original language

Shirokova E.A. On Cauchy Problem Solution for a Harmonic Function in a Simply Connected Domain with Multi-Component Boundary/ Shirokova, E. A.; Ivanshin, P. N.// International Journal Of Computational Methods, .2024 https://doi.org/10.1142/S0219876224500439

Annotation

Here, we present an investigation of the Cauchy problem solvability for the Laplace equation in a simply connected plane domain with a multi-component boundary. We reduce our investigation to solution of two singular integral equations. If the problem is resolvable, then we restore its solution via the integral Cauchy formula. We present the examples of the solvable problems. The construction involves an auxiliary approximate conformal mapping or the solution of certain singular integral equations.

Keywords

multy-component boundary, Cauchy problem, harmonic function, conformal mapping

The name of the journal

International Journal Of Computational Methods

URL

https://doi.org/10.1142/S0219876224500439

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=305460&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Shirokova Elena Aleksandrovna	ru_RU
dc.contributor.author	Ivanshin Petr Nikolaevich	ru_RU
dc.date.accessioned	2024-01-01T00:00:00Z	ru_RU
dc.date.available	2024-01-01T00:00:00Z	ru_RU
dc.date.issued	2024	ru_RU
dc.identifier.citation	Shirokova E.A. On Cauchy Problem Solution for a Harmonic Function in a Simply Connected Domain with Multi-Component Boundary/ Shirokova, E. A.; Ivanshin, P. N.// International Journal Of Computational Methods, .2024 https://doi.org/10.1142/S0219876224500439	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=305460&p_lang=2	ru_RU
dc.description.abstract	International Journal Of Computational Methods	ru_RU
dc.description.abstract	Here, we present an investigation of the Cauchy problem solvability for the Laplace equation in a simply connected plane domain with a multi-component boundary. We reduce our investigation to solution of two singular integral equations. If the problem is resolvable, then we restore its solution via the integral Cauchy formula. We present the examples of the solvable problems. The construction involves an auxiliary approximate conformal mapping or the solution of certain singular integral equations.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	multy-component boundary	ru_RU
dc.subject	Cauchy problem	ru_RU
dc.subject	harmonic function	ru_RU
dc.subject	conformal mapping	ru_RU
dc.title	On Cauchy Problem Solution for a Harmonic Function in a Simply Connected Domain with Multi-Component Boundary	ru_RU
dc.type	Articles in international journals and collections	ru_RU