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 cut-off 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
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