For a class of semilinear parabolic equations with discontinuous coefficients, the strong solvability of the Dirichlet problem is studied in this paper. The problem in is the subject of our study, where is bounded or a convex subdomain of . The function is assumed to be a Caratheodory function satisfying the growth condition , for , and leading coefficients satisfy Cordes condition .

中文翻译：

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具有间断系数的Cordes型半线性抛物方程的第一边值问题

对于一类具有不连续系数的半线性抛物方程，研究了狄利克雷问题的强可解性。问题 在 是我们研究的主题，其中有界或凸的子域。功能 假定为满足生长条件的Caratheodory函数 ，对于，并且前导系数满足Cordes条件。