Geodesic
On the Majorant Method for the Cauchy–Kovalevskaya Problem
Matematičeskie zametki, Tome 69 (2001) no. 3, pp. 363-374 
O. È. Zubelevich. On the Majorant Method for the Cauchy–Kovalevskaya Problem. Matematičeskie zametki, Tome 69 (2001) no. 3, pp. 363-374. http://geodesic.mathdoc.fr/item/MZM_2001_69_3_a5/
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     author = {O. \`E. Zubelevich},
     title = {On the {Majorant} {Method} for the {Cauchy{\textendash}Kovalevskaya} {Problem}},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_69_3_a5/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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