Linear Elliptic Equations of Second Order

نویسنده

  • M. V. Safonov
چکیده

The classical Schauder type results on C-regularity of solutions are exposed for linear second order elliptic equations with Hölder coefficients. Our approach is based on equivalent seminorms in Hölder spaces C, which are similar to seminorms introduced by S. Campanato [1]. Under this approach, the C-estimates for solutions are derived from the maximum principle and the interior smoothness of harmonic functions.

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تاریخ انتشار 2013