Geodesic
A generalization of Schauder's theorem and its application to Cauchy-Kovalevskaya problem
Electronic Journal of Differential Equations, Tome 2003 (2003).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a141,
     author = {Zubelevich, Oleg},
     title = {A generalization of {Schauder's} theorem and its application to {Cauchy-Kovalevskaya} problem},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2003},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a141/}
}
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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__a141/