Higher-Order Relations for Derivatives of Nonlinear Diffusion Semigroups

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...

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Bibliographic Details
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
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal