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math.SP2013★ 3 cited
Improved Berezin-Li-Yau inequalities with magnetic field
Hynek Kovarik, Timo Weidl
In this paper we study the eigenvalue sums of Dirichlet Laplacians on bounded domains. Among our results we establish an improvement of the Li-Yau bound in the presence of a consta…
math.SP2008★ 37 cited
Two dimensional Berezin-Li-Yau inequalities with a correction term
Hynek Kovarik, Semjon Vugalter, Timo Weidl
We improve the Berezin-Li-Yau inequality in dimension two by adding a positive correction term to its right-hand side. It is also shown that the asymptotical behaviour of the corre…