Sharp Weyl-Type Formulas of the Spectral Functions for Biharmonic Steklov Eigenvalues

Details Sharp Weyl-Type Formulas of the Spectral Functions for Biharmonic Steklov Eigenvalues Sharp Weyl-Type Formulas of the Spectral Functions for Biharmonic Steklov Eigenvalues

2011-12-06

arxiv.org/abs/1112.1206v2

Mathematics

Analysis of PDEs

24 pages. arXiv admin note: substantial text overlap with arXiv:1105.0076

Scientific paper

In this paper, by explicitly calculating the principal symbols of pseudodifferential operators and by applying H\"omander's spectral function theorem, we obtain the Weyl-type asymptotic formulas with sharp remainder estimates for the counting functions of the two classes of biharmonic Steklov eigenvalues $\lambda_k$ and $\mu_k$ in a smooth bounded domain of a Riemannian manifold. This solves a longstanding challenging problem.

Affiliated with

Also associated with

No associations

Rating

Sharp Weyl-Type Formulas of the Spectral Functions for Biharmonic Steklov Eigenvalues does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Sharp Weyl-Type Formulas of the Spectral Functions for Biharmonic Steklov Eigenvalues, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sharp Weyl-Type Formulas of the Spectral Functions for Biharmonic Steklov Eigenvalues will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-380536