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Matematicheskie Zametki, 2001, Volume 69, Issue 3, Pages 363–374
DOI: https://doi.org/10.4213/mzm510 (Mi mzm510) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the Majorant Method for the Cauchy–Kovalevskaya Problem

O. È. Zubelevich

M. V. Lomonosov Moscow State University
Full-text PDF (234 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm510
Abstract: We present a theory which allows us to justify the existence theorems and derive majorant estimates for solutions of the Cauchy problem for a countable system of partial differential equations. Our results also allow to estimate the maximum existence interval for a solution.
Received: 05.10.2000
English version:
Mathematical Notes, 2001, Volume 69, Issue 3, Pages 329–339
DOI: https://doi.org/10.1023/A:1010279307669
Bibliographic databases:
UDC: 517.955
Language: Russian
Citation: O. È. Zubelevich, “On the Majorant Method for the Cauchy–Kovalevskaya Problem”, Mat. Zametki, 69:3 (2001), 363–374; Math. Notes, 69:3 (2001), 329–339
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    1. D. V. Treschev, E. I. Kugushev, T. V. Popova, S. V. Bolotin, Yu. F. Golubev, V. A. Samsonov, Yu. D. Selyutskii, “Kafedra teoreticheskoi mekhaniki i mekhatroniki”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 2024, no. 6, 103–113  mathnet  crossref  elib
    2. D. V. Treschev, E. I. Kugushev, T. V. Shakhova, S. V. Bolotin, Yu. F. Golubev, V. A. Samsonov, Yu. D. Selyutskiy, “Chair of Theoretical Mechanics and Mechatronics”, Moscow Univ. Mech. Bull., 79:6 (2024), 200  crossref
    3. Yu J., Zhang X., “Infinite Dimensional Cauchy-Kowalevski and Holmgren Type Theorems”, Sci. China-Math., 62:9 (2019), 1645–1656  crossref  mathscinet  isi  scopus
    4. O. Zubelevich, “Majorant Method for the Evolution Differential Equations in Sequence Spaces”, Math. Notes, 103:4 (2018), 565–582  mathnet  mathnet  crossref  isi  scopus
    5. Zubelevich O., “Evolution Differential Equations in Frechet Space With Schauder Basis”, Funkc. Ekvacioj-Ser. Int., 60:2 (2017), 213–237  crossref  mathscinet  zmath  isi  scopus
    6. Zubelevich O., “Evolution Differential Equations in Frechet Sequence Spaces”, Colloq. Math., 143:2 (2016), 251–264  crossref  mathscinet  zmath  isi  scopus  scopus
    7. Oleg Zubelevich, “On Analytic Solutions to the Navier-Stokes Equation in 3-D Torus”, FE, 50:2 (2007), 171  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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