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2020-06.pdf | 1.45 MB | Adobe PDF | 見る/開く |
タイトル: | Some notes on parametric multilevel q-Gevrey asymptotics for some linear q-difference-differential equations (Algebraic analytic methods in complex partial differential equations) |
著者: | Lastra, A. Malek, S. |
キーワード: | 35C10 35C20 asymptotic expansion Borel-Laplace transform Fourier transform formal power series singular perturbation q-difference-differential equation |
発行日: | Apr-2017 |
出版者: | 京都大学数理解析研究所 |
誌名: | 数理解析研究所講究録 |
巻: | 2020 |
開始ページ: | 50 |
終了ページ: | 61 |
抄録: | This manuscript pretends to provide a survey of the work [8], which has been presented in RIMS Symposium Algebraic Analytic Methods in Complex Partial Differential Equations. The concise scheme in these notes aims to give a clear idea on the procedure followed in that work, as well as to clarify the steps underlying in the results in [8]. In the work [8], we study a family of linear q-difference-differential equations, under the action of a perturbation parameter $epsilon$ . The procedure leans on a q-analog of an acceleration procedure and a q-analog of Ramis-Sibuya theorem in two levels, based on the ideas of the one-level result in [2]. |
URI: | http://hdl.handle.net/2433/231738 |
出現コレクション: | 2020 Algebraic analytic methods in complex partial differential equations |
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