|
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:
PDF file (183 kB)
References:
PDF file
HTML file
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), 258–270
Citation in format AMSBIB
\Bibitem{Bel09}
\by Yuri~Ya.~Belov
\paper On Estimates of Solutions of the Split Problems for Some Multi-Dimensional Partial Differential Equations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2009
\vol 2
\issue 3
\pages 258--270
\mathnet{http://mi.mathnet.ru/jsfu72}
Linking options:
http://mi.mathnet.ru/eng/jsfu72 http://mi.mathnet.ru/eng/jsfu/v2/i3/p258
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:
-
S. V. Polyntseva, V. V. Sosedov, “Zadacha opredeleniya koeffitsientov pri proizvodnoi po vremeni i starshei proizvodnoi po prostranstvennoi peremennoi v parabolicheskom uravnenii”, Trudy sedmoi Vserossiiskoi nauchnoi konferentsii s mezhdunarodnym uchastiem (3–6 iyunya 2010 g.). Chast 3, Differentsialnye uravneniya i kraevye zadachi, Matem. modelirovanie i kraev. zadachi, Samarskii gosudarstvennyi tekhnicheskii universitet, Samara, 2010, 246–248
-
Ekaterina N. Kriger, Igor V. Frolenkov, “An identification problem of nonlinear lowest term coefficient in the special form for two-dimensional semilinear parabolic equation”, Zhurn. SFU. Ser. Matem. i fiz., 9:2 (2016), 180–191
-
Yuri Ya. Belov, Kirill V. Korshun, “On rate of convergence of Tonelli's and weak approximation methods for loaded equations”, Zhurn. SFU. Ser. Matem. i fiz., 11:3 (2018), 286–294
|
Number of views: |
This page: | 199 | Full text: | 64 | References: | 38 |
|