On the L1 Stability to a Generalized Degasperis-Procesi Equation

Haibo Yan; Ls Yong; Hanlei Hu

doi:10.1155/2014/121489

Abstract and Applied Analysis (Jan 2014)

On the L1 Stability to a Generalized Degasperis-Procesi Equation

Haibo Yan,
Ls Yong,
Hanlei Hu

Affiliations

Haibo Yan: Department of Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, China
Ls Yong: Department of Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, China
Hanlei Hu: Department of Mathematics, Sichuan Normal University, Chengdu 610066, China

DOI: https://doi.org/10.1155/2014/121489
Journal volume & issue: Vol. 2014

Abstract

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A nonlinear generalized Degasperis-Procesi equation is investigated. Assuming that the strong solution of the equation is bounded in the sense of L∞R-norm and the initial data belong to the space L1(R)∩L2(R), we prove that the solutions are stable in the space L1(R).

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

About the journal