Fetching the paper…
Reading the bibliography…
We improve the Berezin-Li-Yau inequality in dimension two by adding a positive correction term to its right-hand side.
1912
Earlier work this paper cites.
G. Pólya: On the eigenvalues of vibrating membranes. Proc. London Math. Soc
1961
Earlier work this paper cites.
F.A. Berezin: Covariant and contravariant symbols of operators. Izv. Akad. Nauk SSSR Ser. Mat
1972
Earlier work this paper cites.
V. Ivrii: The second term of the spectral asymptotics for a Laplace-Beltrami operator on manifolds with boundary. (Russian) Funktsional. Anal. i Prilozhen
1980
Earlier work this paper cites.
R. B. Melrose: Weyl’s conjecture for manifolds with concave boundary. Geometry of the Laplace operator (Proc. Sympos. Pure Math., Univ. Hawaii, Honolulu, Hawaii, 1979), pp. 257–274, Proc. Sympos. Pure Math., XXXVI, Amer. Math. Soc
1980
Earlier work this paper cites.
P. Li and S.T. Yau: On the Schrödinger equation and the eigenvalue problem, Comm. Math. Phys
1983
Cited alongside, same era.
P. Kröger: Estimates for sums of eigenvalues of the Laplacian. J. Funct. Anal
1994
Cited alongside, same era.
A. Laptev: Dirichlet and Neumann eigenvalue problems on domains in Euclidean spaces. J. Funct. Anal
1997
Cited alongside, same era.
Yu. Safarov, D. Vassiliev: The asymptotic distribution of eigenvalues of partial differential operators
1997
Cited alongside, same era.
T. Weidl: Improved Berezin-Li-Yau inequalities with a remainder term. Preprint: arXiv: 0711.4925. To appear in Spectral Theory of Differential Operators, Amer. Math. Soc. Transl. (2)
Cited in the paper.
V. Ivrii: Microlocal analysis and precise spectral asymptotics
1998
Later among the works it cites.
A. Laptev, T. Weidl: Recent results on Lieb-Thirring inequalities. Journées “Équations aux Dérivées Partielles” (La Chapelle sur Erdre, 2000), Exp. No. XX, 14 pp., Univ. Nantes, Nantes, 2000
2000
Later among the works it cites.
E. Lieb, M. Loss: Analysis
2001
Later among the works it cites.
A.D. Melas: A lower bound for sums of eigenvalues of the Laplacian. Proc. Amer. Math. Soc
2003
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…