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Hölder estimates for bounded solutions of problems with an oblique derivative for parabolic equations of nondivergence structure

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Abstract

The Hölder property of the solution of a problem with oblique derivative is investigated with the aid of a proved estimate of the maximum of the solution of a mixed initial-boundary value problem.

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References

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Translated from Problemy Matematicheskogo Analiza, No. 11, pp. 37–46, 1990.

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Nazarov, A.I. Hölder estimates for bounded solutions of problems with an oblique derivative for parabolic equations of nondivergence structure. J Math Sci 64, 1247–1252 (1993). https://doi.org/10.1007/BF01098017

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