A certain property of solutions of parabolic equations with measurable coefficients

Mathematics of the USSR - Izvestija

Volumn 16, Issue 1, 1981, Pages 151-164

  Krylov, N V ^a   Safonov, M V ^a  

^a NONE

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Indexed keywords

EID: 0002851231     PISSN: 00255726     EISSN: 21695075     Source Type: Journal    
DOI: 10.1070/IM1981v016n01ABEH001283     Document Type: Article

References (8)

1. O. A. Ladyženskaja and N. N. Ural’ceva, Linear and quasilinear elliptic equations, “Nauka”, Moscow, 1964; English transl., Academic Press, 1968.
2. O. A. Ladyženskaja, V. A. Solonnikov and N. N. Ural’ceva, Linear and quasilinear equations of parabolic type, “Nauka”, Moscow, 1967; English transl., Amer. Math. Soc., Providence, R.I., 1968.
3. E. M. Landis, Second-order equations of elliptic and parabolic types, “Nauka”, Moscow, 1971. (Russian)
4. Avner Friedman, Partial differential equations of parabolic type, Prentice-Hall, Englewood Cliffs, N.J., 1964.
5. Heinz Otto Cordes, Über die erste Randwertaufgabe bei quasilinearen Differentialgleichungen zweiter Ordnung in mehr als zwei Variablen, Math. Ann. 131 (1956), 278–312.
6. n, Lecture Notes in Math., vol. 481, Springer-Verlag, 1975.
7. N. V. Krylov, Sequences of convex functions, and estimates of the maximum of the solution of a parabolic equation, Sibirsk. Mat. Ž. 17 (1976), 290–303; English transl. in Siberian Math. J. 17 (1976).
8. On the maximum principle for nonlinear parabolic and elliptic equations, Izv. Akad. Nauk SSSR Ser. Mat. 42 (1978), 1050–1062; English transl. in Math. USSR Izv. 13 (1979).