Geodesic
A generalization of Schauder's theorem and its application to Cauchy-Kovalevskaya problem
Electronic journal of differential equations, Tome 2003 (2003)
We extend the classical majorant functions method to a PDE system which right hand side is a mapping of one functional space to another. This extension is based on some generalization of the Schauder fixed point theorem.
Classification : 35A10
Keywords: Cauchy-kovalevskaya problem, Schauder theorem 
@article{EJDE_2003__2003__a41,
     author = {Zubelevich,  Oleg},
     title = {A generalization of {Schauder's} theorem and its application to {Cauchy-Kovalevskaya} problem},
     journal = {Electronic journal of differential equations},
     year = {2003},
     volume = {2003},
     zbl = {1036.35005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a41/}
}
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Zubelevich,  Oleg. A generalization of Schauder's theorem and its application to Cauchy-Kovalevskaya problem. Electronic journal of differential equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a41/