Journal of Mathematical Sciences

, Volume 197, Issue 3, pp 395–398 | Cite as

Asymptotic Behavior of Solutions of Boundary-Value Problems for the Equation Δu − ku = f in a Layer

  • V. A. Nikishkin


For the solutions of boundary-value problems for the equation Δu − ku = f in the layer
$$ \varPi =\left\{ {\left( {x^{\prime},{x_n}} \right)\in {{\mathbb{R}}^n}|{x}^{\prime}\in {{\mathbb{R}}^{n-1 }},{x_n}\in \left( {a,b} \right)} \right\},\quad -\infty <a<b<+\infty, \quad n\geq 3, $$
one obtains the first term of their asymptotics at infinity.


Asymptotic Behavior Weak Solution Fundamental Solution Elliptic System Neumann Problem 
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© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Moscow State University of Economics, Statistics, and InformaticsMoscowRussia

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