摘要
In 1988, Yu . A. Alkhutov and I. T. Mamedov discussed the solvability of the Dirichlet problem for linear uniformly parabolic equations with measurable coefficients where the coefficients satisfy the condition In this paper, we try to generalize the results of Alkhutov and Mamedov to nonlinear uni- formly parabolic systems of second order equations with measurable coefficients; moreover, we also discuss the solvability of the Neumann problem for the above systems.
In 1988, Yu . A. Alkhutov and I. T. Mamedov discussed the solvability of the Dirichlet problem for linear uniformly parabolic equations with measurable coefficients where the coefficients satisfy the condition In this paper, we try to generalize the results of Alkhutov and Mamedov to nonlinear uni- formly parabolic systems of second order equations with measurable coefficients; moreover, we also discuss the solvability of the Neumann problem for the above systems.
