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A Nadirashvili-type theorem for a second-order parabolic equation with nonnegative characteristic form

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Literture Cited

  1. L. I. Kamynin and B. N. Khimchenko, “On the analogues of the Giraud-type theorem for a second-order parabolic equation,” Sib. Mat. Zh.,14, No. 1, 86–100 (1973).

    Google Scholar 

  2. L. I. Kamynin and B. N. Khimchenko, “A Giraud-type theorem for a second-order equation with weakly degenerate nonnegative characteristic part,” Sib. Mat. Zh.,18, No. 1, 103–121 (1977).

    Google Scholar 

  3. L. I. Kamynin and B. N. Khimchenko, “On the strong extremum principle for a second-order weakly parabolically connected operator,” Zh. Vychisl. Mat. Mat. Fiz.,21, No. 4, 907–925 (1981).

    Google Scholar 

  4. L. I. Kamynin and B. N. Khimchenko, “On the maximum principle for a second-order ellipticoparabolic equation,” Sib. Mat. Zh.,13, No. 4, 773–789 (1972).

    Google Scholar 

  5. L. I. Kamynin and B. N. Khimchenko, “On a certain aspect of development of the theory of the isotropic strong extremum principle of A. D. Aleksandrov,” Differents. Uravn.,16, No. 2, 280–292 (1980).

    Google Scholar 

  6. N. S. Nadirashvili, “A lemma about the inner derivative and uniqueness of solution of the second boundary-value problem for second-order elliptic equations,” Dokl. Akad. Nauk SSSR,261, No. 4, 804–808 (1981).

    Google Scholar 

  7. N. S. Nadirashvili, “On the question about the uniqueness of solution of the second boundary-value problem for second-order elliptic equations,” Mat. Sb.,122, No. 3, 341–359 (1983).

    Google Scholar 

  8. A. D. Aleksandrov, “Investigations on the maximum principle. I,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 5, 126–157 (1958).

    Google Scholar 

  9. L. I. Kamynin, “On the uniqueness of solution of a boundary-value problem with the boundary conditions of A. A. Samarskii for a second-order parabolic equation,” Zh. Vychisl. Mat. Mat. Fiz.,16, No. 6, 1480–1488 (1976).

    Google Scholar 

  10. L. I. Kamynin and B. N. Khimchenko, “A theorem on the inner derivative for a second-order parabolic equation,” Dokl. Akad. Nauk SSSR,279, No. 6, 1311–1314 (1984).

    Google Scholar 

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Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 27, No. 4, pp. 52–66, July–August, 1986.

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Kamynin, L.I., Khimchenko, B.N. A Nadirashvili-type theorem for a second-order parabolic equation with nonnegative characteristic form. Sib Math J 27, 511–523 (1986). https://doi.org/10.1007/BF00969164

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  • DOI: https://doi.org/10.1007/BF00969164

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