Abstract

In [1], Yu. A. Alkhutov and I. T. Mamedov discussed the solvability of the Dirichlet problem for a linear nondivergence uniformly parabolic equations with Cordes coefficients. In this paper, we try to discuss the solvability of initial-mixed boundary value problem for nondivergence uniformly parabolic equations of second order with measurable coefficients in a higher dimensional domain, which includes the Dirichlet problem and initial-oblique derivative problem for the equations as special cases.Key wordsInitial-mixed problemparabolic equationsmeasurable

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