Cauchy problem with Riesz operator of fractional differentiation

  • V. A. Litovchenko Чернiв. нац. ун-т

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.
Published
25.12.2005
How to Cite
LitovchenkoV. A. “Cauchy Problem With Riesz Operator of Fractional Differentiation”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, no. 12, Dec. 2005, pp. 1653–1667, https://umj.imath.kiev.ua/index.php/umj/article/view/3716.
Section
Research articles