Systems of equations driven by stable processes

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Pathwise uniqueness for singular SDEs driven by stable processes (2010, background): “Martingale problems for SDEs driven b y (L(1)t , : : : , L d t ) have been recently studied (see [3] and references therein) .”
Regularity of Harmonic functions for a class of singular stable-like processes (2009, background): “Proposition 2.1 There exist positive constants c1, c2 that depend only on the upper bound of A(x) and A(x)−1 on B such that (a) E x[τ ] ≤ c1 for all x ∈ B; (b) E x[τ ] ≥ c2 for all x ∈ B(x0, 12 ).”
Boundary Harnack principle for Δ+Δ^{/2} (2012, background): “is a martingale (see the proof of Proposition 4.1 in [ 4 ] for the derivation of a similar assertion).”