Cauchy problem with Riesz operator of fractional differentiation
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.
English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 12, pp 1937-1956.
Citation Example: Litovchenko V. A. Cauchy problem with Riesz operator of fractional differentiation // Ukr. Mat. Zh. - 2005. - 57, № 12. - pp. 1653–1667.