Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials

DOI10.1016/j.jde.2021.05.006zbMath1467.35132arXiv2010.04593OpenAlexW3161628550MaRDI QIDQ2034035

Yi-Ping Zhang

Publication date: 18 June 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.04593

zbMATH Keywords

Dirichlet problemeigenvalueseigenfunctionssecond-order elliptic equationsoscillating periodic coefficients and potentials

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (3)

On the Periodic Homogenization of Elliptic Equations in Nondivergence Form with Large Drifts ⋮ Second-Order Homogenization of Periodic Schrödinger Operators with Highly Oscillating Potentials ⋮ A Quasi-Optimal Factorization Preconditioner for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains

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