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discrete parabolic Harnack inequality

I am currently looking for a discrete version of the parabolic Harnack inequality in the following "$L^1$ to $L^\infty$" form: If $u(t,x)\geq 0$ is a (say, smooth) subsolution of \begin{equation …
leo monsaingeon's user avatar
1 vote
0 answers
59 views

Discrete-to-continuum convergence of principal Fokker-Planck eigenvalues

I am looking for a reference justifying the following statement. Let $L^n$ be any "reasonably consistent" finite-difference approximation of the Fokker-Planck operator in dimension $d=1$ $$ Lu=-\parti …
leo monsaingeon's user avatar