Cauchy problem for one class of pseudodifferential systems with entire analytic symbols

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

Abstract

Using functions convex downward, we describe a class of pseudodifferential systems with entire analytic symbols that contains Éidel’man parabolic systems of partial differential equations with continuous time-dependent coefficients. We prove a theorem on the correct solvability of the Cauchy problem for these systems in the case where initial data are generalized functions. We also establish the principle of localization of a solution of this problem.
Published
25.09.2006
How to Cite
LitovchenkoV. A. “Cauchy Problem for One Class of Pseudodifferential Systems With Entire Analytic Symbols”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, no. 9, Sept. 2006, pp. 1211–1233, https://umj.imath.kiev.ua/index.php/umj/article/view/3523.
Section
Research articles