initial-oblique derivative problem;
nonlinear parabolic systems;
high dimensional domains;
D O I:
10.1016/j.cnsns.2006.12.005
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
This paper deals with the initial-oblique derivative boundary value problem for nonlinear nondivergent parabolic systems of second-order equations in high dimensional domains with coefficients measurable in multiply connected domains. The formulation and estimates of solutions for the initial-boundary value problem are given. The solvability of the problem is derived. (C) 2007 Elsevier B.V. All rights reserved.