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

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.

Bibliographic Details
Main Author: Oleg Zubelevich
Format: Article
Language:English
Published: Texas State University 2003-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/55/abstr.html