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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.

3 votes
0 answers
197 views

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 Optimization 38.5 (2 …
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2 votes
2 answers
389 views

Does this operator have a continuous, localized eigenfunction with negative eigenvalue?

I am looking at a class of operators $$ L[f](x)=af_{xxxx}-bf_{xx}+\frac{d}{dx}(\delta(x)f_x) $$ , a<0,b<0, on the real line, where $\delta$ is Dirac-delta. I am interested in ruling out the possibilit …
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