Geodesic
On Estimates of Solutions to Boundary-Value Problems for Elliptic Systems in a Layer
Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 2, pp. 60-70.

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General boundary-value problems for elliptic systems in a layer, i.e., in a domain of the form $$ \Pi=\{(x',x_{n})\in \mathbb{R}^n\mid x'\in\mathbb{R}^{n-1},\,x_{n}\in (a,b)\}, \qquad -\infty+\infty,\;n\ge3, $$ are considered under the Lopatinskii condition. Solvability theorems are proved, and estimates of solutions are obtained.
Keywords: layer, elliptic system, elliptic boundary-value problem. 
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V. A. Nikishkin. On Estimates of Solutions to Boundary-Value Problems for Elliptic Systems in a Layer. Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 2, pp. 60-70. http://geodesic.mathdoc.fr/item/FAA_2011_45_2_a3/

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