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Ukrainian Mathematical Journal

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

Cauchy problem with Riesz operator of fractional differentiation

  • V. A. Litovchenko
Article

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.

Keywords

Generalize Function Cauchy Problem Localization Property Homogeneous Function Finite Order 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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