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Boundary layer expansions for initial value problems with two complex time variables
DOI:10.1186/s13662-020-2496-3.png)
摘要
En 中文
We study a family of partial differential equations in the complex domain, under the action of a complex perturbation parameter epsilon. We construct inner and outer solutions of the problem and relate them to asymptotic representations via Gevrey asymptotic expansions with respect to epsilon in adequate domains. The asymptotic representation leans on the cohomological approach determined by the Ramis-Sibuya theorem.
Keyword:
Asymptotic expansion
Borel-Laplace transform
Fourier transform
Initial value problem
Formal power series
Boundary layer
Singular perturbation
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3.1
论文数:
4.8K
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