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6 votes
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Schwartz kernel of spectral projection of Laplacian and integrated density of states

I'm reposting here a question I asked on MSE which did not receive an answer. I am considering the Dirichlet Laplacian $\Delta$ on some smooth domain $U$. For now assume that $U$ is bounded, and later ...
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3 votes
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On the spectrum of Fokker–Planck with linear drift

The paper by Liberzon and Brockett, "Spectral analysis of Fokker–Planck and related operators arising from linear stochastic differential equations." SIAM Journal on Control and ...
mathamphetamine's user avatar
3 votes
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102 views

Determining what happens to the spectrum of Schrödinger operator as boundary condition changes

I recently came across a problem in research, and I'm asking about it here after trying in math stack exchange with no luck. Suppose I have a metric graph $G$ (or even a closed interval, to make ...
GSofer's user avatar
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1 vote
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Numerical computation of spectrum for operators on real line with "confining potential"

I am looking to understand the conditions under which one can expect "reasonably" accurate solution to leading eigenvalues/eigenvectors of a second order differential operator posed on the real line. ...
mystupid_acct's user avatar