TY - JOUR A1 - Laptev, Ari A1 - Weth, Tobias T1 - Spectral properties of the logarithmic Laplacian T2 - Analysis and Mathematical Physics N2 - We obtain spectral inequalities and asymptotic formulae for the discrete spectrum of the operator 12log(−Delta) in an open set OmegaERd, d≥2, of finite measure with Dirichlet boundary conditions. We also derive some results regarding lower bounds for the eigenvalue Lambda1(Omega) and compare them with previously known inequalities. Y1 - 2021 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/63564 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-635648 SN - 1664-235X VL - 11 IS - art. 133 SP - 1 EP - 24 PB - Springer International Publishing AG CY - Cham (ZG) ER -