On Gevrey Regularity of Solutions for Inhomogeneous Nonlinear Moment Partial Differential Equations

In this article we investigate Gevrey regularity of formal power series solutions for a certain class of nonlinear moment partial differential equations, the inhomogeneity of which is of a fixed Gevrey order with respect to the time variable. The results are a generalization of similar ones obtained for standard nonlinear partial differential equations as well as linear moment differential equations.

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Publication Details

Journal
Funkcialaj Ekvacioj
Published
2026-07-28
DOI
https://doi.org/10.1619/fesi.69.157
Primary Topic
Nonlinear Waves and Solitons
Type
article
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article

On Gevrey Regularity of Solutions for Inhomogeneous Nonlinear Moment Partial Differential Equations

Maria Suwińska, Pascal Rémy
Funkcialaj Ekvacioj
Nonlinear Waves and Solitons
article

On Gevrey Regularity of Solutions for Inhomogeneous Nonlinear Moment Partial Differential Equations

Maria Suwińska, Pascal Rémy
article en

Abstract

In this article we investigate Gevrey regularity of formal power series solutions for a certain class of nonlinear moment partial differential equations, the inhomogeneity of which is of a fixed Gevrey order with respect to the time variable. The results are a generalization of similar ones obtained for standard nonlinear partial differential equations as well as linear moment differential equations.

Funkcialaj EkvaciojVol. 69(2)
Université de Versailles Saint-Quentin-en-Yvelines (FR), Cardinal Stefan Wyszynski University in Warsaw (PL)
Openalex Percentile: Top 100%
Nonlinear Waves and Solitons
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