标题： Fokker-Planck方程的定量稳定性估计 显示英文标题

标题： Quantitative stability estimates for Fokker-Planck equations

摘要： 我们考虑具有不规则系数的Fokker--Planck方程。 处理了两种不同的情况：在退化情况下，假设系数是弱可微的，而在非退化情况下，漂移仅满足Ladyzhenskaya--Prodi--Serrin条件。 利用Trevisan的叠加原理，该原理将解表示为扩散算子的鞅问题解的边缘，我们建立了Fokker--Planck方程解的定量稳定性估计。 显示英文摘要

摘要： We consider the Fokker--Planck equations with irregular coefficients. Two different cases are treated: in the degenerate case, the coefficients are assumed to be weakly differentiable, while in the non-degenerate case the drift satisfies only the Ladyzhenskaya--Prodi--Serrin condition. Using Trevisan's superposition principle which represents the solution as the marginal of the solution to the martingale problem of the diffusion operator, we establish quantitative stability estimates for the solutions of Fokker--Planck equations.