Parametric Gevrey asymptotics in two complex time variables through truncated Laplace transforms
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Publication:2116108
DOI10.1186/s13662-020-02773-zzbMath1485.35116OpenAlexW3121393066MaRDI QIDQ2116108
Guoting Chen, Alberto Lastra Sedano, Stéphane Malek
Publication date: 16 March 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-02773-z
Fourier transformsingular perturbationasymptotic expansioninitial value problemformal power seriesnonlinear partial differential equationBorel-Laplace transform
Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) Laplace transform (44A10)
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Cites Work
- Unnamed Item
- Divergent series, summability and resurgence II. Simple and multiple summability
- On parametric Gevrey asymptotics for some nonlinear initial value Cauchy problems
- Accelero-summation of the formal solutions of nonlinear difference equations
- Basic theory of ordinary differential equations
- On parametric Gevrey asymptotics for some initial value problems in two asymmetric complex time variables
- Lower bounds for truncated Fourier and Laplace transforms
- Multi-level Gevrey solutions of singularly perturbed linear partial differential equations
- Formal power series and linear systems of meromorphic ordinary differential equations
- Boundary layer expansions for initial value problems with two complex time variables
- Some further results of the Laplace transform for variable-order fractional difference equations
- Fractional impulsive differential equations: exact solutions, integral equations and short memory case
- Multisummability of formal solutions to the Cauchy problem for some linear partial differential equations
- On singularly perturbed linear initial value problems with mixed irregular and Fuchsian time singularities
- Parametric Borel summability for some semilinear system of partial differential equations
- Parametric Borel Summability of Partial Differential Equations of Irregular Singular Type
- On parametric Gevrey asymptotics for some nonlinear initial value problems in symmetric complex time variables
- On the Analytical and Numerical Properties of the Truncated Laplace Transform I.
- On singularly perturbed small step size difference-differential nonlinear PDEs
