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
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 email: li@math.wvu.edu |
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