Heat Kernel for Fractional Diffusion Operators with Perturbations

E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton, N.J., Princeton University Press, 1970

1970

Earlier work this paper cites.

A. Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs, N.J., 1975

1975

Earlier work this paper cites.

H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, North-Holland Publishing Company, Amsterdam, 1978

1978

Earlier work this paper cites.

P. Li, S.-T. Yau, On the parabolic kernel of the Schrödinger operator, Acta Math. 156(1986), 153–201

1986

Earlier work this paper cites.

S.-J. Sheu, Some estimates of the transition density of a nondegenerate diffusion markov processes, Ann. Probab. 19(1991), 538–561

1991

Cited alongside, same era.

Z. Qian, Gradient estimates and heat kernel estimates, Proc. R. Soc. Edinburgh A 125(1995), 975–990

1995

Cited alongside, same era.

F.-Y. Wang, On estimation of the logarithmic Sobolev constant and gradient estimates of heat semigroups, Probab. Theory Relat. Fields 108(1997), 87–101

1997

Cited alongside, same era.

Q. S. Zhang, Gaussian bounds for the fundamental solutions of ∇ ( A ∇ u ) + B ∇ u − u t = 0 \nabla(A\nabla u)+B\nabla u-u_{t}=0 , Manuscripta Math. 93(1997), 381–390

1997

Cited alongside, same era.

Z. Chen, P. Kim, R. Song, Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation, arxiv:1011.3273

Original

Cited in the paper.

K. I. Sato, Lévy Processes and Infinite Divisble Distributions, Cambridge University Press, Cambridge, 1999

1999

Later among the works it cites.

K. Bogdan, A. Stós A, P. Sztonyk, Harnack inequality for stable processes on d d -sets, Studia Math. 158(2003), 163–198

2003

Later among the works it cites.

K. Bogdan, T. Jakubowski, Estimates of heat kernel of fractional Laplacian perturbed by gradient operators, Commun. Math. Phys. 271(2007), 179–198

2007

Later among the works it cites.

R. L. Schilling, R. Song, Z. Vondrac̆ek, Bernstein Functions, De Gruyter, Berlin, 2010

2010

Later among the works it cites.