Geodesic
On the asymptotics of the solution of the Dirichlet problem for a fourth-order equation in a layer
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 8, pp. 1249-1255
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The Dirichlet problem for a fourth-order elliptic equation with constant coefficients without first derivatives is considered in the region (layer) $$ \Pi = \left\{ (x',x_n ) \in R^n | x' \in R^{n - 1}, x_n \in (a,b) \right\},\quad - \infty < a < b < + \infty, \quad n \geqslant 3. $$ The first term of the asymptotics of the solution at infinity is obtained. 
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V. A. Nikishkin. On the asymptotics of the solution of the Dirichlet problem for a fourth-order equation in a layer. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 8, pp. 1249-1255. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_8_a1/

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