Gevrey asymptotic theory for singular first order linear partial differential equations of nilpotent type. I
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Publication:1424089
DOI10.3934/cpaa.2003.2.211zbMath1055.35033OpenAlexW2011911461MaRDI QIDQ1424089
Publication date: 8 March 2004
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2003.2.211
Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) Linear first-order PDEs (35F05)
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Borel summability of divergent solutions for singularly perturbed first order ordinary differential equations ⋮ Asymptotic existence theorems for formal power series whose coefficients satisfy certain partial differential recursions ⋮ Borel summability of divergent solutions for singular first-order partial differential equations with variable coefficients. I ⋮ Divergence property of formal solutions for singular first order linear partial differential equations ⋮ Gevrey asymptotic theory for singular first order linear partial differential equations of nilpotent type. II
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