科研之友
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摘要
In this paper, we study the fractional Fokker-Planck equation and obtain the existence and uniqueness of weak L-p-solutions (1 <= p <= infinity) under the assumptions that the coefficients are only in Sobolev spaces. Moreover, to L-infinity-solutions, we gain the well-posedness for BV coefficients. Besides, the non-negative weak L-p-solutions and renormalized solutions are derived. After then, we achieve the stability for stationary solutions.
