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Funktsional'nyi Analiz i ego Prilozheniya, 2011, Volume 45, Issue 2, Pages 60–70
DOI: https://doi.org/10.4213/faa3036 (Mi faa3036) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On Estimates of Solutions to Boundary-Value Problems for Elliptic Systems in a Layer

V. A. Nikishkin

Moscow State University of Economics, Statistics and Informatics
Full-text PDF (223 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa3036
Abstract: General boundary-value problems for elliptic systems in a layer, i.e., in a domain of the form
$$ \Pi=\{(x',x_{n})\in \mathbb{R}^n\mid x'\in\mathbb{R}^{n-1},\,x_{n}\in (a,b)\}, \qquad -\infty<a<b<+\infty,\;n\ge3, $$
are considered under the Lopatinskii condition. Solvability theorems are proved, and estimates of solutions are obtained.
Keywords: layer, elliptic system, elliptic boundary-value problem.
Received: 01.03.2010
English version:
Functional Analysis and Its Applications, 2011, Volume 45, Issue 2, Pages 128–136
DOI: https://doi.org/10.1007/s10688-011-0014-9
Bibliographic databases:
Document Type: Article
UDC: 517.956.223
Language: Russian
Citation: V. A. Nikishkin, “On Estimates of Solutions to Boundary-Value Problems for Elliptic Systems in a Layer”, Funktsional. Anal. i Prilozhen., 45:2 (2011), 60–70; Funct. Anal. Appl., 45:2 (2011), 128–136
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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