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We consider the first initial–boundary value problem for a parabolic system in a semibounded domain on the plane with nonsmooth lateral boundary that may have cusps. The continuity of the trace of the Poisson potential on such a boundary is studied, and a theorem on the existence of a classical solution of the problem is proved for the case of an inhomogeneous parabolic system and a nonzero initial condition.
Бадерко et al. (Sat,) studied this question.