Uniform asyptotic formulae for eigenfunctions of Sturm--Liouville operators with singular potentials

Details Uniform asyptotic formulae for eigenfunctions of Sturm--Liouville operators with singular potentials Uniform asyptotic formulae for eigenfunctions of Sturm--Liouville operators with singular potentials

2008-01-13

arxiv.org/abs/0801.1950v1

Mathematics

Spectral Theory

8 pages

Scientific paper

In this paper we study a Sturm--Liouville operator $Ly=-y''+q(x)y$ in the space $L_2[0,\pi]$ with Direchlet boundary conditions. Here the potential $q$ is a fitst order distribution $q\in W_2^{-1}[0,\pi]$. Such operators were defined in our previous papers. Here we study an asymptotic behaviour of eigenfunctions with uniform estimates of rests. We obtain this estimates also for potentials from Sobolev spaces $q\in W_2^{\theta-1}$, where $\theta\in[0,1/2)$.

Affiliated with

Also associated with

No associations

Rating

Uniform asyptotic formulae for eigenfunctions of Sturm--Liouville operators with singular potentials 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 Uniform asyptotic formulae for eigenfunctions of Sturm--Liouville operators with singular potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uniform asyptotic formulae for eigenfunctions of Sturm--Liouville operators with singular potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-472951