Initial-Oblique derivative problem for nonlinear parabolic equations in high dimensional domains

In this paper, we discuss some initial-boundary value problems for nonlinear nondivergent parabolic equations of second order in high dimensional domains, where coefficients of equations are measurable in multiply connected domains. We focus on initial-oblique derivative problems. The estimates of solutions for the initial-boundary value problems are given, and then the solvability result is derived. The results in this paper are the development of the corresponding work in [1, 3, 4].EI0MO78-19