Hölder estimates for solutions of degenerate nondivergence elliptic and parabolic equations

Nazarov, A.

doi:10.1090/S1061-0022-2010-01109-9

Hölder estimates for solutions of degenerate nondivergence elliptic and parabolic equations
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by A. I. Nazarov
Translated by: the author

St. Petersburg Math. J. 21 (2010), 635-650

DOI: https://doi.org/10.1090/S1061-0022-2010-01109-9

Published electronically: May 20, 2010

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Abstract:

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.

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