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Annales de l’institut Fourier
Article . 2001 . Peer-reviewed
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Annales de l’institut Fourier
Article
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zbMATH Open
Article . 2001
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https://dx.doi.org/10.5802/aif...
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Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2001 English Publisher:MathDoc/Centre MersenneJournal:Annales de l'Institut Fourier, volume 51, pages 1,599-1,620 (eissn: 1777-5310, Copyright policy )
Authors: Chen, Hua; Luo, Zhuangchu; Tahara, Hidetoshi;

doi: 10.5802/aif.1867

Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity

Abstract

In this paper, we calculate the formal Gevrey index of the formal solution of a class of nonlinear first order totally characteristic type partial differential equations with irregular singularity in the space variable. We also prove that our index is the best possible one in a generic case.

Keywords

formal solution, Series solutions to PDEs, Analyticity in context of PDEs, formal Gevrey class, Local existence and uniqueness theorems (PDE), Cauchy-Kovalevskaya theorems, Gevrey index

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
18
Average
Top 10%
Average
gold