MATHEMATICA BOHEMICA, Vol. 120, No. 1, pp. 91-111, 1995

Weak averaging of stochastic evolution equations

Ivo Vrkoc

Mathematical Institute, Academy of Sciences, Zitna 25, 115 67 Praha 1, Czech Republic

Abstract: A theorem on continuous dependence of solutions to stochastic evolution equations on coefficients is established, covering the classical averaging procedure for stochastic parabolic equations with rapidly oscillating both the drift and the diffusion term.

Keywords: stochastic evolution equations, weak convergence, averaging methods

Classification (MSC91): 60H15

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