A new proof of Borel's lemma in two dimensions

Existence of solutions for nonlinear problems can often be established by a Newton's scheme, near an approximate solution, combined with a regularization procedure. This article provides a new method of constructing an infinite order $C^\infty$ approximate solution for proving Borel’s Lemma...

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Bibliographic Details
Main Author: Dening Li
Format: Article
Language:English
Published: Texas State University 2015-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/56/abstr.html