Geodesic
Borel resummation of formal solutions to nonlinear Laplace equations in 2 variables
Annales Polonici Mathematici, Tome 67 (1997) no. 1, pp. 31-41.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider a nonlinear Laplace equation Δu = f(x,u) in two variables. Following the methods of B. Braaksma [Br] and J. Ecalle used for some nonlinear ordinary differential equations we construct first a formal power series solution and then we prove the convergence of the series in the same class as the function f in x.
DOI : 10.4064/ap-67-1-31-41
Keywords: Borel resummation, formal solutions, Laplace equation

M. Pliś 1 ; B. Ziemian 1

1 
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M. Pliś; B. Ziemian. Borel resummation of formal solutions to nonlinear Laplace equations in 2 variables. Annales Polonici Mathematici, Tome 67 (1997) no. 1, pp. 31-41. doi : 10.4064/ap-67-1-31-41. http://geodesic.mathdoc.fr/articles/10.4064/ap-67-1-31-41/

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