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

L. I. Kamynin; B. N. Khimchenko

doi:10.1007/bf00969164

journal article Jul 01, 1986

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

L. I. Kamynin B. N. Khimchenko

Siberian Mathematical Journal Vol. 27 No. 4 pp. 511-523 · Springer Science and Business Media LLC

View at Publisher Save 10.1007/bf00969164

Topics

No keywords indexed for this article. Browse by subject →

References

10

[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). 10.1007/bf00967266

[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). 10.1007/bf00966952

[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).

[4]

The maximum principle for an elliptic — Parabolic equation of the second order

L. I. Kamynin, B. N. Khimchenko

Siberian Mathematical Journal 1972 10.1007/bf00971046

[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).

[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).

[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).

[8]

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

[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).

[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).

Metrics

1

Citations

10

References

Details

Published: Jul 01, 1986
Vol/Issue: 27(4)
Pages: 511-523
License: View

Authors

Cite This Article

L. I. Kamynin, B. N. Khimchenko (1986). A Nadirashvili-type theorem for a second-order parabolic equation with nonnegative characteristic form. Siberian Mathematical Journal, 27(4), 511-523. https://doi.org/10.1007/bf00969164

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

You May Also Like