Geodesic
Green's matrices of boundary value problems for Petrovskii parabolic systems of general form. II
Sbornik. Mathematics, Tome 42 (1982) no. 4, pp. 461-498 
S. D. Ivasishen. Green's matrices of boundary value problems for Petrovskii parabolic systems of general form. II. Sbornik. Mathematics, Tome 42 (1982) no. 4, pp. 461-498. http://geodesic.mathdoc.fr/item/SM_1982_42_4_a2/
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     title = {Green's matrices of boundary value problems for {Petrovskii} parabolic systems of general {form.~II}},
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Green's matrices are constructed for general nonhomogeneous boundary value problems for Petrovskii parabolic systems of differential equations of arbitrary order in unbounded as well as bounded domains with smooth, generally noncylindrical, lateral boundaries. The properties of these matrices are studied, and sharp estimates obtained for their derivatives with respect to all arguments. For Part I, see Mat. Sb. (N.S.), v. 114(156) (1981), 110–166. Bibliography: 5 titles.

[1] Krasovskii Yu. P., “Vydelenie osobennosti u funktsii Grina”, Izv. AN SSSR, ser. matem., 31 (1967), 977–1010 | MR | Zbl

[2] Ivasishen S. D., “O kompozitsii parabolicheskikh yader”, Ukr. matem. zh., 32:1 (1980), 35–45 | MR | Zbl

[3] Ivasishen S. D., “Izuchenie matritsy Grina obschei neodnorodnoi parabolicheskoi granichnoi zadachi”, Metody funktsionalnogo analiza v zadachakh matematicheskoi fiziki, Kiev, in-t matem. AN USSR, 1971, 5–74

[4] Solonnikov V. A., “O kraevykh zadachakh dlya lineinykh parabolicheskikh sistem differentsialnykh uravnenii obschego vida”, Trudy Matem. in-ta im. V. A. Steklova, 83, 1965, 3–163 | MR

[5] Eidelman S. D., Ivasishen S. D., “Issledovanie matritsy Grina odnorodnoi parabolicheskoi granichnoi zadachi”, Trudy Mosk. matem. ob-va, 23, 1970, 179–234 | MR