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Drift diffusion equations with fractional diffusion on compact Lie groups

Drift diffusion equations with fractional diffusion on compact Lie groups

Abstract In this work we investigate the well-posed for diffusion equations associated to subelliptic pseudo-differential operators on compact Lie groups. The diffusion by strongly elliptic operators is considered as a special case and in particular the fractional diffusion with respect to the Laplacian. The general case is studied within the …