Basisness of Fucik eigenfunctions for the Dirichlet Laplacian
Classical Analysis and ODEs
2026-03-16 v1 Analysis of PDEs
Spectral Theory
Abstract
We provide improved sufficient assumptions on sequences of Fucik eigenvalues of the one-dimensional Dirichlet Laplacian which guarantee that the corresponding Fucik eigenfunctions form a Riesz basis in . For that purpose, we introduce a criterion for a sequence in a Hilbert space to be a Riesz basis.
Cite
@article{arxiv.2111.08329,
title = {Basisness of Fucik eigenfunctions for the Dirichlet Laplacian},
author = {Falko Baustian and Vladimir Bobkov},
journal= {arXiv preprint arXiv:2111.08329},
year = {2026}
}
Comments
11 pages, 3 figures