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

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Abstract

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.

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References

  1. S. Farlow,Partial Differential Equations for Scientists and Engineers [Russian translation], Mir, Moscow 1985.

    MATH  Google Scholar 

  2. Yu. A. Davydov, “On the convergence of distributions generated by stationary random processes,”Teor. Ver. Primen.,13, Issue 4, 730–737 (1968).

    MATH  MathSciNet  Google Scholar 

  3. I. I. Gikhman, “On a mixed problem for a stochastic differential equation of parabolic type,”Ukr. Mat. Zh.,32, No. 3, 367–372 (1980).

    MATH  MathSciNet  Google Scholar 

  4. O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural’tseva,Linear and Quasilinear Equations of Parabolic Type [in Russian], Nauka, Moscow 1967.

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  5. O. A. Ladyzhenskaya,Boundary-Value Problems in Mathematical Physics [in Russian], Nauka, Moscow 1973.

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Bondarev, B.V. Estimation of rated influence in parabolic systems.L 2-approach. Ukr Math J 48, 1–12 (1996). https://doi.org/10.1007/BF02390978

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  • DOI: https://doi.org/10.1007/BF02390978

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