2017
Том 69
№ 9

All Issues

On the evolution operators for some equations of mathematical physics with variable coefficients

Kochmanski S.

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Abstract

It is shown that, with the help of a relatively simple operator technique, it is possible to solve, from a common point of view, the Cauchy problem for many important equations of mathematical physics with variable coefficients. This result is applied to the equations of kinetic theory, and diffusion and heat conduction equations. We discuss the problem of equivalence of different schemes of expansion according to the Hausdorff formula.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 7, pp 938-952.

Citation Example: Kochmanski S. On the evolution operators for some equations of mathematical physics with variable coefficients // Ukr. Mat. Zh. - 1994. - 46, № 7. - pp. 857–869.

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