Abstract
A class of functionsB q,s containing generalized solutions of some higher-order quasilinear parabolic equations is defined. We prove thatB q,s is imbedded in the space of Hölder functions.
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I. V. Skrypnik, “On the quasilinear higher-order parabolic equations with Holder-type solutions,”Differents. Uravn.,29, No. 3. 503–517 (1993).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 7, pp. 1020–1028, July, 1993.
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Skrypnik, I.V. On the Hölder property for functions from the classB q,s . Ukr Math J 45, 1134–1144 (1993). https://doi.org/10.1007/BF01057459
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DOI: https://doi.org/10.1007/BF01057459