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math.SP2019
A note on the Weyl formula for balls in
Jingwei Guo
Let () be a ball. We consider the Dirichlet Laplacian associated with and prove that its eigenvalue counting func…
math.SP2019★ 3 cited
The Weyl formula for planar annuli
Jingwei Guo, Wolfgang Müller, Weiwei Wang +1
We study the zeros of cross-product of Bessel functions and obtain their approximations, based on which we reduce the eigenvalue counting problem for the Dirichlet Laplacian associ…
math.SP2017★ 1 cited
An improved remainder estimate in the Weyl formula for the planar disk
Jingwei Guo, Weiwei Wang, Zuoqin Wang
In \cite{colin}, Y. Colin de Verdière proved that the remainder term in the two-term Weyl formula for the eigenvalue counting function for the Dirichlet Laplacian associated with t…