Higher-Order Relations for Derivatives of Nonlinear Diffusion Semigroups

• Date: 2001
• Main Authors: Antoniouk, A. Vict., Antoniouk, A. Val., Антонюк, О. Вік., Антонюк, О. Вал.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4227
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We show that a special choice of the Cameron–Martin direction in the characterization of the Wiener measure via the formula of integration by parts leads to a set of natural representations for derivatives of nonlinear diffusion semigroups. In particular, we obtain a final solution of the non-Lipsch...