We consider nondivergent elliptic and parabolic equations of the second order whose leading coefficients satisfy the uniform Lipschitz condition. We find a sufficient condition for the removability of a compact set with respect to these equations in the space of Hölder functions.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 11, pp. 1485–1496, November, 2009.
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Gadjiev, T.S., Mamedova, V.A. On removable sets of solutions of second-order elliptic and parabolic equations in nondivergent form. Ukr Math J 61, 1743–1756 (2009). https://doi.org/10.1007/s11253-010-0310-1
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DOI: https://doi.org/10.1007/s11253-010-0310-1