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

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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. 
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     author = {S. D. Ivasishen},
     title = {Green's matrices of boundary value problems for {Petrovskii} parabolic systems of general {form.~II}},
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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/