JournalsjstVol. 13, No. 1pp. 243–261

Spectral estimates for the Dirichlet Laplacian on spiral-shaped regions

  • Diana Barseghyan

    University of Ostrava, Czechia

  • Pavel Exner

    Czech Academy of Sciences; Czech Technical University, Prague, Czechia
Spectral estimates for the Dirichlet Laplacian on spiral-shaped regions cover
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Abstract

We derive spectral estimates of the Lieb–Thirring type for eigenvalues of Dirichlet Laplacians on strictly shrinking spiral-shaped domains.

Cite this article

Diana Barseghyan, Pavel Exner, Spectral estimates for the Dirichlet Laplacian on spiral-shaped regions. J. Spectr. Theory 13 (2023), no. 1, pp. 243–261

DOI 10.4171/JST/454