This article is cited in 2 papers

Short Communications

On piecewise linear approximation for non-linear stochastic evolution

Yu. A. Rozanov<sup>ab

a</sup> Steklov Mathematical Institute, Russian Academy of Sciences
^b CNP-IAMI, Italy

Abstract: The paper proposes a nonlinear model of evolution of stochastic fields based on a piecewise linear approximation by partial differential equations with stochastic boundary conditions.

Keywords: generalized random fields, nonlinear evolution equation, stochastic boundary conditions, Sobolev super spaces.

Received: 22.10.1996

Language: English

DOI: 10.4213/tvp939

 English version: Theory of Probability and its Applications, 1999, 43:1, 146–151

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