On the L1 Stability to a Generalized Degasperis‐Procesi Equation

Haibo Yan, Ls Yong and Hanlei Hu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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).

Date: 2014
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https://doi.org/10.1155/2014/121489

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:121489

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