Ukrainian Mathematical Journal

, Volume 57, Issue 12, pp 1937–1956 | Cite as

Cauchy problem with Riesz operator of fractional differentiation

  • V. A. Litovchenko


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.


Generalize Function Cauchy Problem Localization Property Homogeneous Function Finite Order 
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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • V. A. Litovchenko
    • 1
  1. 1.Chernivtsi National UniversityChernivtsi

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