# American Institute of Mathematical Sciences

December  2007, 19(4): 737-760. doi: 10.3934/dcds.2007.19.737

## Campanato-type boundary estimates for Rothe's scheme to parabolic partial differential systems with constant coefficients

 1 Department of Mathematics, Nippon Institute of Technology, 4-1 Gakuendai, Miyashiro, Minamisaitama, Saitama 345-8501, Japan 2 Department of Mathematics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan

Received  February 2006 Revised  July 2007 Published  September 2007

The aim of this paper is to formulate Campanato-type boundary estimates for solutions of the Rothe approximate scheme to parabolic partial differential systems with constant coefficients. The core observation is that such estimates hold independently of the approximate systems.
Citation: Nobuyuki Kato, Norio Kikuchi. Campanato-type boundary estimates for Rothe's scheme to parabolic partial differential systems with constant coefficients. Discrete & Continuous Dynamical Systems, 2007, 19 (4) : 737-760. doi: 10.3934/dcds.2007.19.737
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