Asymptotic analysis of spectral problems in thick junctions with the branched fractal structure

DOI10.1002/mma.8692zbMath1530.35018OpenAlexW4295024934MaRDI QIDQ6180552

Taras A. Mel'nyk

Publication date: 22 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8692

zbMATH Keywords

homogenizationasymptotic approximationspectral problemfractal structure

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Eigenvalue problems for linear operators (47A75) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Junctions (74K30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic approximation for the solution to a semi-linear parabolic problem in a thick junction with the branched structure
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Homogenization in open sets with holes
• Elliptic problems in domains with piecewise smooth boundaries
• The asymptotics of the solution to the Neumann spectral problem in a domain of the ``dense-comb type
• Hausdorff convergence and asymptotic estimates of the spectrum of a perturbed operator
• Homogenization of the Poisson equation in a thick periodic junction
• Asymptotics of eigenelements to spectral problem in thick cascade junction with concentrated masses
• Boundary-value problems for partial differential equations in non-smooth domains
• Fifty years of eigenvalue perturbation theory
• Trees in Many Contexts
• Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node
• Multiple-Scale Analysis of Boundary-Value Problems in Thick Multi-Level Junctions of Type 3:2:2
• Regular degeneration and boundary layer for linear differential equations with small parameter

This page was built for publication: Asymptotic analysis of spectral problems in thick junctions with the branched fractal structure