Perturbation of Domain: Ordinary Differential Equations

Details Perturbation of Domain: Ordinary Differential Equations Perturbation of Domain: Ordinary Differential Equations

2000-09-20

arxiv.org/abs/math/0009189v2

Proc. Roy. Soc. Edinburgh, 132A, 379--386, 2002

Mathematics

Spectral Theory

9 Pages. Shortened version to improve clarity. To appear Proc. Roy. Soc. Edinburgh Sect. A. Proof of Theorem 3.1 expanded slig

Scientific paper

We work with the Friedrichs extension of a one dimensional Schrodinger whose potential has a certain type of regular singularity near one end point. We study the effect on the eigenvalues of shrinking the region slightly near the end point. In particular we calculate the rate at which the eigenvalues of the smaller region converge to the eigenvalues of the larger region as the region expands. A result of this type was needed by that author in another paper concerned with a domain perturbation problem on Riemannian manifolds. The problem here, however, is stated purely in terms of ordinary differential equations.

Affiliated with

Also associated with

No associations

Rating

Perturbation of Domain: Ordinary Differential Equations 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 Perturbation of Domain: Ordinary Differential Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Perturbation of Domain: Ordinary Differential Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-367797