Analyzability in the context of PDEs and applications
Ovidiu Costin, Saleh Tanveer (2004)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “Power and exponential-power series solutions of evolution equations”
Analyzability in the context of PDEs and applications
Divergence and summability of normal forms of systems of differential equations with nilpotent linear part
Mireille Canalis-Durand, Reinhard Schäfke (2004)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Multisummability of formal power series solutions of nonlinear meromorphic differential equations
Boele L. J. Braaksma (1992)
Annales de l'institut Fourier
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In this paper a proof is given of a theorem of J. Écalle that formal power series solutions of nonlinear meromorphic differential equations are multisummable.
Resurgence relations for classes of differential and difference equations
Boele Braaksma, Robert Kuik (2004)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations
Werner Balser (2005)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Borel resummation of formal solutions to nonlinear Laplace equations in 2 variables
Maria Ewa Pliś, Bogdan Ziemian (1997)
Annales Polonici Mathematici
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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.