Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points

In this article, we study elliptic boundary-value problems, depending on a real parameter, in domains with conical points. We present asymptotic formulas for solutions near singular points, as linear combinations of special singular functions and regular functions. These functions and the coeff...

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Main Authors:	Nguyen Manh Hung, Nguyen Thanh Anh
Format:	Article
Language:	English
Published:	Texas State University 2009-09-01
Series:	Electronic Journal of Differential Equations
Subjects:	Elliptic boundary problem nonsmooth domains conical point asymptotic behaviour
Online Access:	http://ejde.math.txstate.edu/Volumes/2009/125/abstr.html

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spelling	doaj-d6ffe8a5420445f8b15aaf587f5606dc2020-11-25T01:02:48ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912009-09-012009125,121Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical pointsNguyen Manh HungNguyen Thanh AnhIn this article, we study elliptic boundary-value problems, depending on a real parameter, in domains with conical points. We present asymptotic formulas for solutions near singular points, as linear combinations of special singular functions and regular functions. These functions and the coefficients of the linear combination are regular with respect to the parameter. http://ejde.math.txstate.edu/Volumes/2009/125/abstr.htmlElliptic boundary problemnonsmooth domainsconical pointasymptotic behaviour
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Nguyen Manh Hung Nguyen Thanh Anh
spellingShingle	Nguyen Manh Hung Nguyen Thanh Anh Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points Electronic Journal of Differential Equations Elliptic boundary problem nonsmooth domains conical point asymptotic behaviour
author_facet	Nguyen Manh Hung Nguyen Thanh Anh
author_sort	Nguyen Manh Hung
title	Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points
title_short	Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points
title_full	Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points
title_fullStr	Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points
title_full_unstemmed	Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points
title_sort	asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2009-09-01
description	In this article, we study elliptic boundary-value problems, depending on a real parameter, in domains with conical points. We present asymptotic formulas for solutions near singular points, as linear combinations of special singular functions and regular functions. These functions and the coefficients of the linear combination are regular with respect to the parameter.
topic	Elliptic boundary problem nonsmooth domains conical point asymptotic behaviour
url	http://ejde.math.txstate.edu/Volumes/2009/125/abstr.html
work_keys_str_mv	AT nguyenmanhhung asymptoticformulasforsolutionsofparameterdependingellipticboundaryvalueproblemsindomainswithconicalpoints AT nguyenthanhanh asymptoticformulasforsolutionsofparameterdependingellipticboundaryvalueproblemsindomainswithconicalpoints
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Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points

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