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On the Hölder property for functions from the classB q,s

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Ukrainian Mathematical Journal Aims and scope

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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References

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  3. 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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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    I. V. Skrypnik (Academician, Ukrainian Academy of Sciences)

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  1. I. V. Skrypnik
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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

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