A new technique for proving uniqueness for martingale problems
From probability to geometry (I) - Volume in honor of the 60th birthday of Jean-Michel Bismut, Astérisque, no. 327 (2009), pp. 47-53 
@incollection{AST_2009__327__47_0,
     author = {Bass, Richard F. and Perkins, Edwin},
     title = {A new technique for proving uniqueness for martingale problems},
     booktitle = {From probability to geometry (I) - Volume in honor of the 60th birthday of Jean-Michel Bismut},
     editor = {Dai Xianzhe and L\'eandre R\'emi and Xiaonan Ma and Zhang Weiping},
     series = {Ast\'erisque},
     pages = {47--53},
     year = {2009},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {327},
     mrnumber = {2642351},
     zbl = {1203.60119},
     language = {en},
     url = {https://www.numdam.org/item/AST_2009__327__47_0/}
}
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Bass, Richard F.; Perkins, Edwin. A new technique for proving uniqueness for martingale problems, dans From probability to geometry (I) - Volume in honor of the 60th birthday of Jean-Michel Bismut, Astérisque, no. 327 (2009), pp. 47-53. https://www.numdam.org/item/AST_2009__327__47_0/

[1] R. F. Bass - "Uniqueness in law for pure jump Markov processes", Probab. Theory Related Fields 79 (1988), p. 271-287. | MR | Zbl | DOI

[2] R. F. Bass, Diffusions and elliptic operators, Probability and its Applications, Springer, 1998. | MR | Zbl

[3] R. F. Bass & E. Perkins - "Uniqueness for stochastic partial differential equations with Holder continuous coefficients", in preparation.

[4] D. W. Stroock & S. R. S. Varadhan - Multidimensional diffusion processes, Grund. Math. Wiss., vol. 233, Springer, 1979. | MR | Zbl

[5] H. Tang - "Uniqueness for the martingale problem associated with pure jump processes of variable order", Ph.D. Thesis, University of Connecticut, 2006. | MR