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Time averaging for nonlinear parabolic operators

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Literature cited

  1. V. V. Zhikov, S. M. Kozlov, and O. A. Oleinik, “Averaging of parabolic operators,” Tr. Mosk. Mat. Obshch.,45, 182–236 (1982).

    Google Scholar 

  2. Yu. A. Mitropol'skii, The Method of Averaging in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1971).

    Google Scholar 

  3. B. M. Levitan and V. V. Zhikov, Almost-Periodic Functions and Differential Equations [in Russian], Moscow State Univ. (1978).

  4. N. B. Simonenko, “Justification of the method of averaging for abstract parabolic operators,” Mat. Sb.,81, No. 1, 53–61 (1970).

    Google Scholar 

  5. R. Z. Khas'minskii, “On the principle of averaging for parabolic and elliptic differential equations and Markov processes with small diffusion,” Teor. Veroyatn.,8, No. 1, 3–25 (1963).

    Google Scholar 

  6. A. A. Pankov, “On averaging and G-convergence of nonlinear elliptic operators in divergence form,”Dokl. Akad. Nauk SSSR,287, No. 1, 37–41 (1984).

    Google Scholar 

  7. R. N. Kun'ch and A. A. Pankov, “G-convergence of monotone parabolic operators,” Dokl. Akad. Nauk SSSR, Ser. A, No. 8, 8–10 (1986).

    Google Scholar 

  8. V. V. Zhikov, S. M. Kozlov, and O. A. Oleinik, “G-convergence of parabolic operators,” Usp. Mat. Nauk,36, No. 1, 11–58 (1981).

    Google Scholar 

  9. A. I. Perov and Yu. V. Trubnikov, “Monotone differential equations. II,” Differents. Uravn.,12, No. 7, 1223–1237 (1976).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Applied Problems of Mechanics and Mathematics, Academy of Sciences of the Ukrainian SSR, L'vov

    R. N. Kun'ch

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  1. R. N. Kun'ch
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 11, pp. 1483–1487, November, 1989.

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Kun'ch, R.N. Time averaging for nonlinear parabolic operators. Ukr Math J 41, 1274–1278 (1989). https://doi.org/10.1007/BF01056494

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  • DOI: https://doi.org/10.1007/BF01056494

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