On the summability of the formal solutions for some PDEs with irregular singularity
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Publication:1871471
DOI10.1016/S1631-073X(03)00023-2zbMath1028.35006MaRDI QIDQ1871471
Changgui Zhang, Zhuangchu Luo, Hua Chen
Publication date: 2003
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Analyticity in context of PDEs (35A20) Series solutions to PDEs (35C10) Nonlinear higher-order PDEs (35G20)
Related Items (5)
On Gevrey functional solutions of partial differential equations with Fuchsian and irregular singularities ⋮ Exponential-type Nagumo norms and summability of formal solutions of singular partial differential equations ⋮ Summability in a monomial for some classes of singularly perturbed partial differential equations ⋮ On singularly perturbed partial integro-differential equations with irregular singularity ⋮ On summability of formal solutions to a Cauchy problem and generalization of Mordell's theorem
Cites Work
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- Multisummability of formal power series solutions of nonlinear meromorphic differential equations
- Formal power series and linear systems of meromorphic ordinary differential equations
- On the Borel summability of divergent solutions of the heat equation
- Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity
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