Approximation of degenerate parabolic systems by nondegenerate elliptic and parabolic systems
Existence of a weak solution is proved for a class of mixed Neumann-Dirichlet problems for a degenerate parabolic system of partial differential equations. The proof is based on a temporal discretization which produces a nondegenerate elliptic system at each time step. It is also shown that if the weak solution is a unique function \(u\), then it is possible to construct a sequence of nondegenerate parabolic systems for which the weak solutions converge to \(u\).
scientific article; zbMATH DE number 1133183
scientific article