On Estimates of Solutions of the Split Problems for Some Multi-Dimensional Partial Differential Equations
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URI (for links/citations):
https://elib.sfu-kras.ru/handle/2311/1208Author:
Belov, Yuri Ya.
(Belov, Yuri Ya. Svobodny 79, Krasnoyarsk, 660041
Russia belov@lan.krasu.ru)
Date:
2009-06Abstract:
We consider multidimensional second order parabolic equations and the first order partial differential
equations. We consider various splittings of the Cauchy problem in the case when the coefficients of the
equation depending on time and all space variables and have a special form. The uniform correctness
of the split problems, that is, a sufficient condition for the split problems solutions convergence to the
solutions to the original problems and the uniform correctness of this problem is proved in classes of
smooth functions.