Variational Approximation for Fokker–Planck Equation on Riemannian Manifold
Variational Approximation for Fokker–Planck Equation on Riemannian Manifold
复制标题
黎曼流形上福克-普朗克方程的变分逼近
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
Xicheng Zhang
中科院分区：
文献类型：
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作者：
Xicheng Zhang
在黎曼流形M上的有界几何假设下，利用Jordan等人的格式构造了M上的Fokker-Planck方程的变分逼近。数学学报29(1):1 - 17,1998。此外，对于一类广义势，得到了1 < p < dim(M)/(dim(M)−1)解的唯一性和全局lp估计。
Under the bounded geometry assumption on Riemannian manifold M, a variational approximation for Fokker–Planck equation on M is constructed by the scheme of Jordan et al. in SIAM J Math Anal 29(1):1–17, 1998. Moreover, the uniqueness and global Lp-estimate of the solution for 1 < p < dim(M)/(dim(M) − 1) are obtained for a broad class of potential.