On the spectrum of the Dirichlet-to-Neumann operator acting on forms of a Euclidean domain

Details On the spectrum of the Dirichlet-to-Neumann operator acting on forms of a Euclidean domain On the spectrum of the Dirichlet-to-Neumann operator acting on forms of a Euclidean domain

2012-02-16

arxiv.org/abs/1202.3605v1

Mathematics

Differential Geometry

18 pages

Scientific paper

We compute the whole spectrum of the Dirichlet-to-Neumann operator acting on
differential p-forms on the unit Euclidean ball. Then, we prove a new upper
bound for its first eigenvalue on a domain $\Omega$ in Euclidean space in terms
of the isoperimetric ratio ${\rm Vol}(\bd\Omega)/{\rm Vol}(\Omega)$.

Affiliated with

Also associated with

No associations

Rating

On the spectrum of the Dirichlet-to-Neumann operator acting on forms of a Euclidean domain 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 On the spectrum of the Dirichlet-to-Neumann operator acting on forms of a Euclidean domain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the spectrum of the Dirichlet-to-Neumann operator acting on forms of a Euclidean domain will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-125701