Parametric Gevrey asymptotics in two complex time variables through truncated Laplace transforms

Parametric Gevrey asymptotics in two complex time variables through truncated Laplace transforms

Abstract This work is devoted to the study of a family of linear initial value problems of partial differential equations in the complex domain, dealing with two complex time variables. The use of a truncated Laplace-like transformation in the construction of the analytic solution allows one to over...

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Bibliographic Details
Main Authors: G. Chen, A. Lastra, S. Malek
Format: Article
Language:English
Published: SpringerOpen 2020-06-01
Series:Advances in Difference Equations
Subjects:
Asymptotic expansion
Borel–Laplace transform
Fourier transform
Initial value problem
Formal power series
Nonlinear partial differential equation
Online Access:http://link.springer.com/article/10.1186/s13662-020-02773-z

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http://link.springer.com/article/10.1186/s13662-020-02773-z

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