On the \(L^1\) stability to a generalized Degasperis-Procesi equation
type: Item
instance of: scholarly article
title: On the \(L^1\) stability to a generalized Degasperis-Procesi equation
zbMATH Open document ID: 1470.35318
DOI: 10.1155/2014/121489
author: Haibo Yan
author: Ls Yong
author: Hanlei Hu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: A nonlinear generalized Degasperis-Procesi equation is investigated. Assuming that the strong solution of the equation is bounded in the sense of \(L^\infty (\mathbb R\)-norm and the initial data belong to the space \(L^1(\mathbb R) \cap L^2(\mathbb R)\), we prove that the solutions are stable in the space \(L^1(\mathbb R)\).
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 7021754
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/121489
OpenAlex ID: W2048012270
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cites work: Q4508328
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Wikidata QID: Q59035275
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description: scientific article; zbMATH DE number 7021754