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

  • V. A. Litovchenko Чернiв. нац. ун-т
  • O. V. Strybko Ін-т прикл. пробл. механіки і математики HAH України, Львів

Abstract

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 as $t → +0$ for one class of degenerate parabolic equations of the Kolmogorov type with $\overrightarrow{2b}-$parabolic part whose coefficients are continuous functions that depend only on $t$.
Published
25.11.2010
How to Cite
LitovchenkoV. A., and StrybkoO. V. “Principle of Localization of Solutions of the Cauchy Problem for One Class of Degenerate Parabolic Equations of Kolmogorov Type”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 11, Nov. 2010, pp. 1473–1489, https://umj.imath.kiev.ua/index.php/umj/article/view/2972.
Section
Research articles