Basisness of Fucik eigenfunctions for the Dirichlet Laplacian

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 $L^2(0,\pi )$. For that purpose, we introduce a criterion for a sequence in a Hilbert space to be a Riesz basis.

arXiv comment11 pages, 3 figures