一类线性偏微分方程\(q-\)的参数二阶\(0-\) Gevrey渐近展开式

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-05-15 DOI:10.1007/s13324-025-01074-6

Alberto Lastra, Stéphane Malek

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引用次数: 0

摘要

得到了一类奇异摄动\(q-\)微分方程在复域上解析解的一种新的渐近表示。这种渐近关系在形式渐近展开式中显示了与系数域的消失率相关的两个不同层次。在此过程中，得到了一个多层序Ramis-Sibuya型定理的新版本。

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On parametric \(0-\)Gevrey asymptotic expansions in two levels for some linear partial \(q-\)difference-differential equations

A novel asymptotic representation of the analytic solutions to a family of singularly perturbed \(q-\)difference-differential equations in the complex domain is obtained. Such asymptotic relation shows two different levels associated to the vanishing rate of the domains of the coefficients in the formal asymptotic expansion. On the way, a novel version of a multilevel sequential Ramis-Sibuya type theorem is achieved.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.