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An asymptotic solution of the Dirichlet problem for the Poisson equation on a nonperiodic frame

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Publication:1280068
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DOI10.1007/BF02355839zbMath0915.35023MaRDI QIDQ1280068

A. E. Lapshin, Gregory P. Panasenko

Publication date: 15 March 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)


zbMATH Keywords

complete asymptotic expansion


Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)


Related Items (1)

Asymptotic analysis of the steady Stokes equation with randomly perturbed viscosity in a thin tube structure



Cites Work

  • Asymptotic expansions in perforated media with a periodic structure
  • On the asymptotic behaviour at infinity of solutions in linear elasticity
  • On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity
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