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This article is cited in 3 scientific papers (total in 3 papers) On Estimates of Solutions of the Split Problems for Some Multi-Dimensional Partial Differential Equations Yuri Ya. Belov Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia Abstract: 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. Keywords: differential equation, Cauchy problem, split, stability, convergence.  Full text:
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UDC: 517.9 Received: 10.05.2009 Received in revised form: 10.06.2009 Accepted: 20.06.2009 Language: Citation: Yuri Ya. Belov, “On Estimates of Solutions of the Split Problems for Some Multi-Dimensional Partial Differential Equations”, J. Sib. Fed. Univ. Math. Phys., 2:3 (2009), 
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Citing articles on Google Scholar: Russian citations, English citations Related articles on Google Scholar: Russian articles, English articles This publication is cited in the following articles:
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