Displacement convexity for the entropy in semi-discrete non-linear Fokker–Planck equations
2018 ◽
Vol 30
(6)
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pp. 1103-1122
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Keyword(s):
A Priori
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The displacement λ-convexity of a non-standard entropy with respect to a non-local transportation metric in finite state spaces is shown using a gradient flow approach. The constant λ is computed explicitly in terms ofa prioriestimates of the solution to a finite-difference approximation of a non-linear Fokker–Planck equation. The key idea is to employ a new mean function, which defines the Onsager operator in the gradient flow formulation.
2008 ◽
Vol 23
(2-3)
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pp. 146-153
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1974 ◽
Vol 51
(6)
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pp. 2003-2005
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Keyword(s):
1997 ◽
Vol 247
(1-4)
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pp. 417-443
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Keyword(s):
2014 ◽
Vol 331
(3)
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pp. 887-926
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Keyword(s):
2015 ◽
Vol 262
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pp. 187-190
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1982 ◽
Vol 47
(3)
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pp. 243-249
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Keyword(s):
1974 ◽
Vol 52
(3)
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pp. 871-885
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