Initial-boundary value problems in a plane corner for the heat equation

We study the Dirichlet initial problem for the heat equation by the Fourier-Bessel method in a plane corner. We prove classical solvability for the problem in weighted Holder spaces.

Bibliographic Details
Main Authors:	Borys V. Bazaliy, Nataliya Vasylyeva
Format:	Article
Language:	English
Published:	Texas State University 2010-06-01
Series:	Electronic Journal of Differential Equations
Subjects:	Initial boundary value problems nonsmooth domains weighted Holder spaces trigonometric series
Online Access:	http://ejde.math.txstate.edu/Volumes/2010/90/abstr.html

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spelling	doaj-b5847d7993db46d299a6f2f5da153fe72020-11-24T22:16:26ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-06-01201090,132Initial-boundary value problems in a plane corner for the heat equationBorys V. BazaliyNataliya VasylyevaWe study the Dirichlet initial problem for the heat equation by the Fourier-Bessel method in a plane corner. We prove classical solvability for the problem in weighted Holder spaces. http://ejde.math.txstate.edu/Volumes/2010/90/abstr.htmlInitial boundary value problemsnonsmooth domainsweighted Holder spacestrigonometric series
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Borys V. Bazaliy Nataliya Vasylyeva
spellingShingle	Borys V. Bazaliy Nataliya Vasylyeva Initial-boundary value problems in a plane corner for the heat equation Electronic Journal of Differential Equations Initial boundary value problems nonsmooth domains weighted Holder spaces trigonometric series
author_facet	Borys V. Bazaliy Nataliya Vasylyeva
author_sort	Borys V. Bazaliy
title	Initial-boundary value problems in a plane corner for the heat equation
title_short	Initial-boundary value problems in a plane corner for the heat equation
title_full	Initial-boundary value problems in a plane corner for the heat equation
title_fullStr	Initial-boundary value problems in a plane corner for the heat equation
title_full_unstemmed	Initial-boundary value problems in a plane corner for the heat equation
title_sort	initial-boundary value problems in a plane corner for the heat equation
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2010-06-01
description	We study the Dirichlet initial problem for the heat equation by the Fourier-Bessel method in a plane corner. We prove classical solvability for the problem in weighted Holder spaces.
topic	Initial boundary value problems nonsmooth domains weighted Holder spaces trigonometric series
url	http://ejde.math.txstate.edu/Volumes/2010/90/abstr.html
work_keys_str_mv	AT borysvbazaliy initialboundaryvalueproblemsinaplanecornerfortheheatequation AT nataliyavasylyeva initialboundaryvalueproblemsinaplanecornerfortheheatequation
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Initial-boundary value problems in a plane corner for the heat equation

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