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BV functions in a Gelfand triple for differentiable measure and its applications by Michael Röckner; Rongchan Zhu; Xiangchan Zhu is a Mathematics article available to read on EtoBox.
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## Abstract In this paper, we introduce a definition of BV functions for (non-Gaussian) differentiable measure in a Gelfand triple which is an extension of the definition of BV functions in [Ann. Probab. 40 (2012), 1759–1794], using Dirichlet form theory. By this definition, we can analyze the reflected stochastic quantization problem associated with a self-adjoint operator __A__ and a cylindrical Wiener process on a convex set Γ in a Banach space __E__. We prove the existence of a martingale solution of this problem if Γ is a regular convex set.
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- Author
- Michael Röckner; Rongchan Zhu; Xiangchan Zhu
- Publisher
- Walter de Gruyter GmbH
- Published
- 2013
- Language
- EN
- Field
- Mathematics (Physical Sciences)
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