Fetching the paper…
Reading the bibliography…
We prove Berezin--Li--Yau-type lower bounds with additional term for the eigenvalues of the Stokes operator and improve the previously known estimates for the Laplace operator.
Ladyzhenskaya O.A. The Mathematical Theory of Viscous Incompressible Flow,
1969
Earlier work this paper cites.
Berezin F.A. Covariant and contravariant symbols of operators. Izv. Akad. Nauk SSSR
1972
Earlier work this paper cites.
Metivier G. Valeurs propres des opérateurs definis sur la restriction de systems variationnels à des sous–espases. J. Math. Pures Appl
1978
Earlier work this paper cites.
Babenko K.I. On the asymptotic behavior of the eigenvalues of linearized Navier–Stokes equations. Dokl. Akad. Nauk SSSR
1982
Earlier work this paper cites.
Li P. and Yau S.–T. On the Schrödinger equation and the eigenvalue problem. Commun. Math. Phys
1983
Earlier work this paper cites.
Temam R. Navier–Stokes Equations. Theory and Numerical Analysis,
1984
Cited alongside, same era.
Constantin P. and Foias C. Navier-Stokes Equations
1988
Cited alongside, same era.
Ghidaglia J. M., Marion M. and Temam R. Generalization of the Sobolev–Lieb–Thirring inequalities and applications to the dimension of attractors. Differential and Integral Equations
1988
Cited alongside, same era.
Babin A.V. and Vishik M.I. Attractors of Evolution Equations
1992
Cited alongside, same era.
Talenti G. Inequalities in rearrangement-invariant function spaces, Nonlinear Analysis, Function Spaces and Applications, Vol. 5, 177–230, Prague, Prometheus, 1995
1995
Cited alongside, same era.
Temam R. Infinite Dimensional Dynamical Systems in Mechanics and Physics,
1997
Later among the works it cites.
Laptev A. and Weidl T. Recent results on Lieb-Thirring inequalities. In Journées Équations aux Dérivées Partielles (La Chapelle sur Erdre, 2000)
2000
Later among the works it cites.
Melas A. A lower bound for sums of eigenvalues of the Laplacian. Proc. Amer. Math. Soc
2002
Later among the works it cites.
2008
Later among the works it cites.
Ilyin A.A. On the spectrum of the Stokes operator. Funkts. Analiz i ego Prilozh
2009
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Closest in time.