Electron. J. Diff. Equ.,
Vol. 2015 (2015), No. 56, pp. 16.
A new proof of Borel's lemma in two dimensions
Dening Li
Abstract:
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
approximate solution for proving Borel's Lemma,
without using the usual
cutoff functions.
Submitted March 18, 2014. Published February 27, 2015.
Math Subject Classifications: 35L50, 40C05.
Key Words: Borel's Lemma; infinite order approximate solution.
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Dening Li
Department of Mathematics
West Virginia University
Morgantown, WV 26506, USA
email: li@math.wvu.edu

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