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 approximationâ€. 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