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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
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
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
Linking options:
https://www.mathnet.ru/eng/faa3036https://doi.org/10.4213/faa3036 https://www.mathnet.ru/eng/faa/v45/i2/p60
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Abstract page: | 503 | Full-text PDF : | 177 | References: | 63 | First page: | 14 |
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