Geodesic
On the Majorant Method for the Cauchy--Kovalevskaya Problem
Matematičeskie zametki, Tome 69 (2001) no. 3, pp. 363-374

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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. 
@article{MZM_2001_69_3_a5,
     author = {O. \`E. Zubelevich},
     title = {On the {Majorant} {Method} for the {Cauchy--Kovalevskaya} {Problem}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {363--374},
     publisher = {mathdoc},
     volume = {69},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_69_3_a5/}
}
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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/