КФУ. Карточка публикации. On Cauchy Problem Solution for a Harmonic Function in a Simply Connected Domain with Multi-Component Boundary

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

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2024

Язык

английский

Авторы, сотрудники КФУ

Широкова Елена Александровна, автор

Другие авторы

Иваньшин Петр Николаевич, автор

Библиографическое описание на языке оригинала

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

Аннотация

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.

Ключевые слова

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

Название журнала

International Journal Of Computational Methods

URL

https://doi.org/10.1142/S0219876224500439

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https://repository.kpfu.ru/?p_id=305460

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Широкова Елена Александровна	ru_RU
dc.contributor.author	Иваньшин Петр Николаевич	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/?p_id=305460	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	Статьи в зарубежных журналах и сборниках	ru_RU