Campanato-type boundary estimates for Rothe's scheme to parabolic partial differential systems with constant coefficients
The authors formulate Campanato-type boundary estimates for solutions of the Rothe approximate scheme to parabolic partial differential systems with constant coefficients. It is an interesting result because, relying on the blow up procedure, Campanato estimates for Rothe's scheme to linear parabolic systems might be an essential tool in the case of nonlinear parabolic partial differential equations. We point out that the estimates found by the authors hold independently of the approximate systems. We recall that the interior estimates were proved by the same authors in a previous paper.
scientific article; zbMATH DE number 5356314