Hölder estimates for solutions of degenerate nondivergence elliptic and parabolic equations
Alexander Il'ich Nazarov · St Petersburg Mathematical Journal · 2010
We deal with a class of nondivergence type elliptic and parabolic equations degenerating at the coordinate hyperplanes. Assuming that the degeneration is coordinatewise and varies regularly, we prove the Hölder continuity of solutions. Also, the approximative solutions are considered.