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