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- W2964306886 abstract "We present upper and lower bounds for Steklov eigenvalues for domains in $mathbb R^{N+1}$ with $C^2$ boundary compatible with the Weyl asymptotics. In particular, we obtain sharp upper bounds on Riesz-means and the trace of corresponding Steklov heat kernel. The key result is a comparison of Steklov eigenvalues and Laplacian eigenvalues on the boundary of the domain by applying Pohozaev-type identities on an appropriate tubular neigborhood of the boundary and the min-max principle. Asymptotically sharp bounds then follow from bounds for Riesz-means of Laplacian eigenvalues." @default.
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- W2964306886 date "2018-10-23" @default.
- W2964306886 modified "2023-10-04" @default.
- W2964306886 title "Weyl-type bounds for Steklov eigenvalues" @default.
- W2964306886 doi "https://doi.org/10.4171/jst/250" @default.
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