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Limit behavior of solutions of the Cauchy peoblem of heat-conduct ion equations perturbed by random peocesses of the “white noise” type

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Literature cited

  1. A. S. Il'in, A. S. Kalashnikov, and O. A. Oleinik, “Second-order linear equations of the parabolic type,” Usp. Mat. Nauk,17, No. 3, 3–146 (1962).

    Google Scholar 

  2. R. Z. Khos'minskii, “Ergodic properties of reentrant diffusion processes and stabilization of solutions of the Cauchy problem for parabolic equations,” Teor. Veroyatn. Ee Primen.,5, No. 2, 196–214 (1960).

    Google Scholar 

  3. N. N. Vakhaniya, “On one probabilistic problem for the one-dimensional heat-conduction equation,” Teor. Veroyatn. Ee Primen.,12, No. 4, 727–729 (1967).

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  4. B. L. Rozovskii, “On stochastic partial differential equations,” in: International Conference on Probability Theory and Mathematical Statistics. Papers Presented [in Russian], Vol. 2, Vilnius (1973), pp. 185–188.

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  5. I. I. Gihman and A. V. Skorokhod, Stochastic Differential Equations, Springer-Verlag (1972).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 29, No. 5, pp. 646–650, September–October, 1977.

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Divnich, N.T. Limit behavior of solutions of the Cauchy peoblem of heat-conduct ion equations perturbed by random peocesses of the “white noise” type. Ukr Math J 29, 493–496 (1977). https://doi.org/10.1007/BF01089902

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  • DOI: https://doi.org/10.1007/BF01089902

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