On the analyticity of solutions of $\overrightarrow{2b}$-parabolic systems

• Date: 2006
• Main Authors: Ivasyshen, S. D., Kondur, O. S., Івасишен, С. Д., Кондур, О. С.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3444
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

It is proved that if the coefficients of a $\overrightarrow{2b}$ -parabolic system admit analytic extension to a complex region in the space variables, then the fundamental matrix of solutions of the Cauchy problem and regular solutions of the system also possess the same property.