Ukrainian Mathematical Journal

, Volume 48, Issue 1, pp 1–12 | Cite as

Estimation of rated influence in parabolic systems.L 2-approach

  • B. V. Bondarev


By using observations of solutions of the first initial boundary-value problem for a parabolic quasilinear equation with fast random oscillations, we estimate the nonlinear term of the equation. In the metric of the space L2, we study large deviations of a nonparametric estimate of nonlinear influence.


Nonlinear Term Lateral Surface Stochastic Differential Equation Wiener Process Nonparametric Estimate 
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© Plenum Publishing Corporation 1997

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  • B. V. Bondarev

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