It is proved, for a four-moment model of a phonon gas system and the Dirac-Schwindler extension of the Maxwell system, that a Chapman correct restriction of a initial-boundary problem exists. The well-posedness condition is found in terms of algebraic relations for parameters of the problem and elements of the boundary matrix.
Статья посвящена актуальной, но недостаточно изученной задаче об услови-ях 2-корректной разрешимости начально-краевой задачи для линейной систе-мы 4-х уравнений гиперболического типа (уравнений Максвелла для вектора-потенциала) с диссипацией, нулевым начальным и неоднородным граничным условием.Библиография: 9 названий.
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