This article is cited in 8 papers

Green's matrices of boundary value problems for Petrovskii parabolic systems of general form. II

S. D. Ivasishen


Abstract: 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.

UDC: 517.946

MSC: Primary 35K50; Secondary 35B45

Received: 10.09.1979

 English version: Mathematics of the USSR-Sbornik, 1982, 42:4, 461–498

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