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Cauchy problem with Riesz operator of fractional differentiation

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Abstract

In the class of generalized functions of finite order, we establish the correct solvability of the Cauchy problem for a pseudodifferential equation whose symbols are homogeneous functions of order γ > 0. We prove a theorem on the localization property of a solution of this problem.

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Authors and Affiliations

  1. Chernivtsi National University, Chernivtsi

    V. A. Litovchenko

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  1. V. A. Litovchenko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 12, pp. 1653–1667, December, 2005.

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Litovchenko, V.A. Cauchy problem with Riesz operator of fractional differentiation. Ukr Math J 57, 1937–1956 (2005). https://doi.org/10.1007/s11253-006-0040-6

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  • DOI: https://doi.org/10.1007/s11253-006-0040-6

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