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By constructing successful couplings for degenerate diffusion processes, explicit derivative formula and Harnack type inequalities are presented for solutions to a class of degenerate Fokker-Planck equations on $\R^m\times\R^{d}$.
X. Cheng, Stochastic flows and Bismut formulas for stochastic Hamiltonian systems, Stoch. Proc. Appl. 120(2010), 1929–1949
1949
Earlier work this paper cites.
J. M. Bismut, Large Deviations and the Malliavin Calculus, Boston: Birkhäuser, MA, 1984
1984
Earlier work this paper cites.
K.D. Elworthy, Xue-Mei Li, Formulae for the derivatives of heat semigroups, J. Funct. Anal. 125(1994), 252–286
1994
Earlier work this paper cites.
F.-Y. Wang, Logarithmic Sobolev inequalities on noncompact Riemannian manifolds, Probability Theory Relat. Fields 109(1997), 417–424
1997
Earlier work this paper cites.
M. Arnaudon, A. Thalmaier, Bismut type differentiation of semigroups, Probability Theory and Mathematical Statistics 23–32, VSP/TEV, Utvecht and Viluius, 1999
1999
Earlier work this paper cites.
F. Otto, C. Villani, Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality , J. Funct. Anal., 173 (2000), 361–400
2000
Earlier work this paper cites.
L. Wu, Large and moderate deviations and exponential convergence for stochastic damping Hamiltonian systems , Stoch. Proc. Appl., 91 (2001), 205–238
2001
Earlier work this paper cites.
H. Kawabi, The parabolic Harnack inequality for the time dependent Ginzburg-Landau type SPDE and its application, Pot. Anal. 22(2005), 61–84
2005
Earlier work this paper cites.
M. Arnaudon, A. Thalmaier, F.-Y. Wang, Harnack inequality and heat kernel estimates on manifolds with curvature unbounded below, Bull. Sci. Math. 130(2006), 223–233
2006
Earlier work this paper cites.
F.-Y. Wang, Harnack inequality and applications for stochastic generalized porous media equations, Ann. Probab. 35(2007), 1333–1350
2007
Cited alongside, same era.
D. Bakry, P. Cattiaux, A. Guillin, Rate of convergence for ergodic continuous Markov processes : Lyapunov versus Poincare, J. Func. Anal. 254 (2008), 727–759
2008
Cited alongside, same era.
W. Liu, F.-Y. Wang, Harnack inequality and strong Feller property for stochastic fast diffusion equations, J. Math. Anal. Appl. 342(2008), 651–662
2008
Cited alongside, same era.
M. Arnaudon, A. Thalmaier, F.-Y. Wang, Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds, Stoch. Proc. Appl. 119(2009), 3653–3670
2009
Cited alongside, same era.
G. Da Prato, M. Röckner, F.-Y. Wang, Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups, J. Funct. Anal. 257 (2009), 992–017
F. Bolley, A. Guillin, F. Malrieu, Trend to equlibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation , M2AN 44(5) (2010), 867–884
2010
Later among the works it cites.
M. Röckner, F.-Y. Wang, Log-Harnack inequality for stochastic differential equations in Hilbert spaces and its consequences, Infin. Dimens. Anal. Quant. Probab. Relat. Topics 13(2010), 27–37
2010
Later among the works it cites.
F.-Y. Wang, Harnack inequalities on manifolds with boundary and applications, J. Math. Pures Appl. 94(2010), 304–321
2010
Later among the works it cites.
T.-S. Zhang, White noise driven SPDEs with reflection: strong Feller properties and Harnack inequalities, Potential Anal. 33 (2010),137–151
2010
Later among the works it cites.
S.-X. Ouyang, Harnack inequalities and applications for multivalued stochastic evolution equations, Infin. Dimens. Anal. Quant. Probab. Relat. Topics 14(2011), 261–278
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2009
Cited alongside, same era.
R. Douc, G. Fort, A. Guillin, Subgeometric rates of convergence of f-ergodic strong Markov processes , Stoch. Proc. Appl. 119 (2009) 897–923
2009
Cited alongside, same era.
A. Es-Sarhir, M.-K. v. Renesse, M. Scheutzow, Harnack inequality for functional SDEs with bounded memory, Electron. Commun. Probab. 14 (2009), 560–565
2009
Cited alongside, same era.
C. Villani, Hypocoercivity . Mem. Amer. Math. Soc. 202 (2009), no. 950
2009
Cited alongside, same era.
F.-Y. Wang, Coupling and its applications , Preprint, accessible on arXiv:1012.5687
Cited in the paper.
Cited in the paper.
2011
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F.-Y. Wang, J.-L. Wu, L. Xu, Log-Harnack inequality for stochastic Burgers equations and applications, J. Math. Anal. Appl. 384(2011), 151–159
2011
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F.-Y. Wang, C. Yuan, Harnack inequalities for functional SDEs with multiplicative noise and applications , Stoch. Proc. Appl. 121(2011), 2692–1710
2011
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S.-X. Ouyang, M. Röckner, F.-Y. Wang, Harnack inequalities and applications for Ornstein-Uhlenbeck semigroups with jump, Pot. Anal. 36(2012), 301–315
2012
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