Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node

DOI10.1142/S0219530520500219zbMath1476.35023arXiv2001.01224OpenAlexW3108818732MaRDI QIDQ5163056

Taras A. Mel'nyk

Publication date: 8 November 2021

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01224

zbMATH Keywords

concentrated massthin graph-like junctionperturbed spectral problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) General topics in linear spectral theory for PDEs (35P05) Eigenvalue problems for linear operators (47A75) Asymptotic expansions of solutions to PDEs (35C20) Junctions (74K30)

Related Items (5)

Asymptotic expansion for the solution of a convection-diffusion problem in a thin graph-like junction ⋮ Asymptotic approximations for semilinear parabolic convection-dominated transport problems in thin graph-like networks ⋮ Puiseux asymptotic expansions for convection-dominated transport problems in thin graph-like networks: Strong boundary interactions ⋮ Asymptotic analysis of spectral problems in thick junctions with the branched fractal structure ⋮ A spectral problem for the Laplacian in joined thin films

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