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Averaging of a boundary-value problem, periodic with respect to time, for a singularly perturbed weakly nonlinear parabolic equation

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Literature cited

  1. M. A. Krasnosel'skii, P. P. Zabreiko, E. I. Pustyl'nik, and P. E. Sobolevskii, Integral Operators in Spaces of Summable Functions [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  2. Functional Analysis, SMB [in Russian], Nauka, Moscow (1972).

  3. J. L. Lions and E. Magenes, Non-Homogeneous Boundary Value Problems and Applications, Springer-Verlag (1972).

  4. O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type, Amer. Math. Soc. (1968).

  5. A. Bensoussan and J. L. Lions, “Homogenisation et perturbations singulieres,” in: Theory of Cubature Formulas and Applications of Functional Analysis to Problems of Mathematical Physics [in Russian], S. V. Usponskii (ed.), No. 1, Novosibirsk (1976), pp. 16–31.

  6. Z. G. Sheftel', “Energy inequalities and general boundary-value problems for elliptic equations with discontinuous coefficients,” Sib. Mat. Zh.,6, No. 3, 636–669 (1965).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 35, No. 4, pp. 441–447, July–August, 1983.

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Laver, A.G., Sidenko, N.R. Averaging of a boundary-value problem, periodic with respect to time, for a singularly perturbed weakly nonlinear parabolic equation. Ukr Math J 35, 377–383 (1983). https://doi.org/10.1007/BF01093086

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  • DOI: https://doi.org/10.1007/BF01093086

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