Asymptotic existence theorems for formal power series whose coefficients satisfy certain partial differential recursions
DOI10.1016/j.jde.2004.10.007zbMath1144.34349OpenAlexW2040127864MaRDI QIDQ1763212
Publication date: 22 February 2005
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2004.10.007
Partial differential equationsAsymptotic expansionsOrdinary differential equationsPower series solutionsMultisummability
Series solutions to PDEs (35C10) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Singular perturbations for ordinary differential equations (34E15) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)
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