A generalization of Schauder's theorem and its application to Cauchy-Kovalevskaya problem

Zubelevich, Oleg2020-11-232020-11-232003-05-05Zubelevich, O. (2003). A generalization of Schauder's theorem and its application to Cauchy-Kovalevskaya problem. <i>Electronic Journal of Differential Equations, 2003</i>(55), pp. 1-6.1072-6691https://hdl.handle.net/10877/12995We 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.Text6 pages1 file (.pdf)enAttribution 4.0 InternationalCauchy-Kovalevskaya problemSchauder theoremA generalization of Schauder's theorem and its application to Cauchy-Kovalevskaya problemArticle