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Let $d\geq 1$ and $\alpha \in (0, 2)$.
Blumenthal R.M. and Getoor R.K.: Some theorems on stable processes. Trans. Amer. Math. Soc
1960
Earlier work this paper cites.
Lady z ˘ \breve{z} enskaja O.A., Solonnikov V.A., Ural’ceva N.N.: Linear and Quasi-linear Equations of Parabolic Type
1968
Earlier work this paper cites.
Friedman, A.: Partial Differential Equations
1969
Earlier work this paper cites.
Doetsch, G.: Introduction to the Theory and Application of the Laplace Transformation
1974
Earlier work this paper cites.
Friedman A.: Partial Differential Equations of Parabolic Type
1975
Earlier work this paper cites.
Henry D.: Geometric Theory of Semilinear Parabolic Equations
1981
Earlier work this paper cites.
Pazy A.: Semigroups of Linear Operators and Applications to Partial Differential Equations
1983
Earlier work this paper cites.
Kochubei A. N.: Parabolic pseudodifferential equations, hypersingular integrals and Markov processes. Math. USSR, Izv
1988
Earlier work this paper cites.
Chen Z.-Q. and Zhao Z.: Diffusion processes and second order elliptic operators with singular coefficients for lower order terms. Math. Ann
1995
Earlier work this paper cites.
Kolokoltsov V.: Symmetric stable laws and stable-like jump-diffusions. Proc. Lond. Math. Soc
2000
Earlier work this paper cites.
Bass R.F. and Levin D.A.: Harnack inequalities for jump processes. Potential Anal
2002
Earlier work this paper cites.
Bass R.F. and Levin D.A.: Transition probabilities for symmetric jump processes. Trans. Amer. Math. Soc
2002
Cited alongside, same era.
Chen Z.-Q. and Kumagai T.: Heat kernel estimates for stable-like processes on d d -sets. Stochastic Processes and their Applications
2003
Cited alongside, same era.
Eidelman S. D., Ivasyshen S. D. and Kochubei A. N.: Analytic Methods in the Theory of Differential and Pseudo-differential Equations of Parabolic Type
2004
Cited alongside, same era.
Bass R.F. and Chen Z.-Q.: Systems of equations driven by stable processes. Probab. Theory Relat. Fields
2006
Cited alongside, same era.
Bogdan K., Jakubowski T. : Estimates of heat kernel of fractional Laplacian perturbed by gradient operator. Commun. Math. Phys.,
2007
Cited alongside, same era.
Bogdan K., Jakubowski T. : Estimates of Green function for the fractional Laplacian perturbed by gradient. Potential Anal
2012
Later among the works it cites.
Chen Z.-Q., Kim P. and Song R.: Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation. Ann. Probab
2012
Later among the works it cites.
Chen Z.-Q. and Wang J.: Perturbation by non-local operators. Preprint, 2012
2012
Later among the works it cites.
Jakubowski T. and Szczypkowski K.: Estimates of gradient perturbation series. J. Math. Anal. Appl
2012
Later among the works it cites.
Bass, R.F. and Ren, H.: Meyers inequality and strong stability for stable-like operators. J. Funct. Anal
2013
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Chen Z.-Q. and Kumagai T.: Heat kernel estimates for jump processes of mixed types on metric measure spaces. Probab. Theory Relat. Fields
2008
Cited alongside, same era.
Chen Z.-Q.: Symmetric jump processes and their heat kernel esitmates. Science in China Series A: Mathematics
2009
Cited alongside, same era.
Chen Z.-Q., Kim P. and Song R.: Heat kernel estimates for Dirichlet fractional Laplacian. J. European Math. Soc,
2010
Cited alongside, same era.
Jakubowski T. and Szczypkowski K.: Time-dependent gradient perturbations of fractional Laplacian. J. Evol. Equ
2010
Cited alongside, same era.
Caffarelli L. and Silvestre L.: The Evans-Krylov theorem for nonlocal fully nonlinear equations. Ann. Math
2011
Cited alongside, same era.
Jakubowski, T.: Fractional Laplacian with singular drift. Studia Math
2011
Cited alongside, same era.
Chen Z.-Q. and Hu E.: Heat kernels of Δ + Δ α / 2 \Delta+\Delta^{\alpha/2} perturbed by gradient operators. In preparation
Cited in the paper.
2013
Closest in time.
Chen Z.-Q. and Zhang X.: Uniqueness of stable-like processes. In preparation, 2013
2013
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Maekawa, Y. and Miura, H.: Upper bounds for fundamental solutions to non-local diffusion equations with divergence free drift. J. Funct. Anal
2013
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Zhang X.: L p L^{p} -maximal regularity of nonlocal parabolic equation and applications. Annales de l’Institut Henri Poincare Analyse non lineaire
2013
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