2017
Том 69
№ 9

All Issues

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

Litovchenko V. A., Strybko O. V.

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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 $t$.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 11, pp 1707-1728.

Citation Example: Litovchenko V. A., Strybko O. V. Principle of localization of solutions of the Cauchy problem for one class of degenerate parabolic equations of Kolmogorov type // Ukr. Mat. Zh. - 2010. - 62, № 11. - pp. 1473–1489.

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