Weyl-type bounds for Steklov eigenvalues
Weyl-type bounds for Steklov eigenvalues
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 …