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

  • S. Kochmanski

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.
Published
25.07.1994
How to Cite
KochmanskiS. “On the Evolution Operators for Some Equations of Mathematical Physics With Variable Coefficients”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 46, no. 7, July 1994, pp. 857–869, https://umj.imath.kiev.ua/index.php/umj/article/view/5677.
Section
Research articles