Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity

Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity

We study a singularly perturbed PDE with cubic nonlinearity depending on a complex perturbation parameter $\epsilon$. This is a continuation of the precedent work [22] by the first author. We construct two families of sectorial meromorphic solutions obtained as a small perturbation in $\epsilon$...

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Bibliographic Details
Main Authors: Alberto Lastra, Stephane Malek
Format: Article
Language:English
Published: Texas State University 2018-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Asymptotic expansion
Borel-Laplace transform
Fourier transform
Cauchy problem
formal power series
nonlinear integro-differential equation
nonlinear partial differential equation
singular perturbation
Online Access:http://ejde.math.txstate.edu/Volumes/2018/46/abstr.html

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http://ejde.math.txstate.edu/Volumes/2018/46/abstr.html

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