Interior estimates for systems of elliptic-parabolic difference partial differential equations

  • Nobuyuki Kato

Abstract

This paper is aimed to formulate Campanato-type interior estimates for solutions of Rothe’s approximate equations to parabolic partial differential systems in non-divergence form, “independently of the approximation”. Combined with the estimates near the boundary in another paper, they will be applied to investigate the uniform Hölder continuity of first derivatives of the solution.
Published
2008-02-01
Section
Articles