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We consider a Stochastic Differential Equation driven by a L\'evy processwhose L\'evy measure satisfy a tempered stable domination. We study how aperturbation of the coefficients reflects on the density of the solution. Wequantify the distance between the densities in term of the proximity of thecoefficients. This extend to the stable case the works of [KKM15], where thenoise is Gaussian.

Density stability for some L\'evy-driven Stochastic Differential Equations