Principle of localization of solutions of the Cauchy problem for one class of degenerate parabolic equations of Kolmogorov type

• Date: 2010
• Main Authors: Litovchenko, V. A., Strybko, O. V., Літовченко, В. А., Стрибко, О. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2972
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In the case where initial data are generalized functions of the Gevrey-distribution type for which the classical notion of equality of two functions on a set is well defined, we establish the principle of local strengthening of the convergence of a solution of the Cauchy problem to its limit value a...